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ODSC East 2017 Probabilistic Programming in Python with PyMC3
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"The code in the following cell converts this notebook to an HTML slideshow powered by [reveal.js](http://lab.hakim.se/reveal-js/)."
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {
"scrolled": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"[NbConvertApp] Converting notebook ./ODSC East 2017 Probabilistic Programming in Python with PyMC3.ipynb to slides\n",
"[NbConvertApp] Writing 1092516 bytes to ./pp-pymc3-odsc-east-2017.slides.html\n"
]
}
],
"source": [
"%%bash\n",
"jupyter nbconvert \\\n",
" --to=slides \\\n",
" --reveal-prefix=https://cdnjs.cloudflare.com/ajax/libs/reveal.js/3.2.0/ \\\n",
" --output=pp-pymc3-odsc-east-2017 \\\n",
" ./ODSC\\ East\\ 2017\\ Probabilistic\\ Programming\\ in\\ Python\\ with\\ PyMC3.ipynb"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"A Dockerfile that will produce a container with all the dependencies necessary to run this notebook is available [here](https://github.com/AustinRochford/notebooks)."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"from contextlib import contextmanager\n",
"import datetime\n",
"import logging\n",
"from warnings import filterwarnings\n",
"\n",
"from IPython.display import HTML"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"from matplotlib import pyplot as plt\n",
"from matplotlib.animation import ArtistAnimation\n",
"from matplotlib.patches import Ellipse\n",
"from matplotlib.ticker import FuncFormatter\n",
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"import theano"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"# make theano go a bit faster\n",
"theano.config.floatX = 'float32'"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"# configure pyplot for readability when rendered as a slideshow and projected\n",
"plt.rc('figure', figsize=(8, 6))\n",
"\n",
"LABELSIZE = 14\n",
"plt.rc('axes', labelsize=LABELSIZE)\n",
"plt.rc('axes', titlesize=LABELSIZE)\n",
"plt.rc('figure', titlesize=LABELSIZE)\n",
"plt.rc('legend', fontsize=LABELSIZE)\n",
"plt.rc('xtick', labelsize=LABELSIZE)\n",
"plt.rc('ytick', labelsize=LABELSIZE)\n",
"\n",
"plt.rc('animation', writer='avconv')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"blue, green, red, purple, gold, teal = sns.color_palette()\n",
"\n",
"pct_formatter = FuncFormatter(lambda p, _: '{:.1%}'.format(p))"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"filterwarnings('ignore', 'findfont')"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"SEED = 72966 # from random.org, for reproducibility\n",
"\n",
"np.random.seed(SEED)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Probabilistic Programming in Python with PyMC3\n",
"\n",
"<center><img src='https://raw.githubusercontent.com/pymc-devs/pymc3/master/docs/pymc3_logo.jpg'></center>\n",
"\n",
"\n",
"## #ODSC East, Boston &#8226; May 5, 2017 &#8226; [@AustinRochford](https://twitter.com/AustinRochford)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## About Me\n",
"\n",
"<center><img src='http://austinrochford.com/resources/img/face_big.png' width=400></center>\n",
"\n",
"### [@AustinRochford](https://twitter.com/AustinRochford) &#8226; [austinrochford.com](http://austinrochford.com) &#8226; [github.com/AustinRochford](http://github.com/AustinRochford)\n",
"\n",
"### [austin.rochford@gmail.com](mailto:arochford@monetate.com) &#8226; [arochford@monetate.com](mailto:arochford@monetate.com)\n",
"\n",
"### PyMC3 contributor &#8226; Principal Data Scientist at [Monetate Labs](http://www.monetate.com/)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Probabilistic Programming\n",
"\n",
"* Write a program to simulate the data generating process\n",
"* Language runtime/software library performs inference"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"<center><img src=\"http://austinrochford.com/resources/talks/img/probabilistic_programming.png\">"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Data Science &mdash; inference enables storytelling\n",
"\n",
"<center><a href=\"https://en.wikipedia.org/wiki/Charles_Joseph_Minard#Work\"><img src=\"https://www.edwardtufte.com/tufte/graphics/minard_lg.gif\" width=\"800\"></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Probabilistic Programming &mdash; storytelling enables inference\n",
"\n",
"<img src=\"http://austinrochford.com/resources/talks/img/prob_prog_png.png\">"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### Enter: Bayes theorem\n",
"\n",
"<center><img src=\"https://upload.wikimedia.org/wikipedia/commons/1/18/Bayes'_Theorem_MMB_01.jpg\" width=600>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### Benefits of probabilistic programming\n",
"\n",
"* Model-agnostic inference algorithms\n",
"* Quantification of uncertainty\n",
"* _Incorporation of domain knowledge_\n",
"* _Modularity_"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### The Monty Hall Problem\n",
"\n",
"<br>\n",
"\n",
"<center><img src='https://upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Monty_open_door.svg/640px-Monty_open_door.svg.png'></center>"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"The [Monty Hall problem](https://en.wikipedia.org/wiki/Monty_Hall_problem) is named after the host of the 1960s television show [_Lets Make a Deal_](https://en.wikipedia.org/wiki/Let%27s_Make_a_Deal)."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Initially, we have no information about which door the prize is behind."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [],
"source": [
"import pymc3 as pm\n",
"\n",
"with pm.Model() as monty_model:\n",
" prize = pm.DiscreteUniform('prize', 0, 2)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"If we choose door one:\n",
"\n",
"<table>\n",
" <tr>\n",
" <td></td>\n",
" <th colspan=\"3\"><center>Monty can open</center></th>\n",
" </tr>\n",
" <tr>\n",
" <th>Prize behind</th>\n",
" <td>Door 1</td>\n",
" <td>Door 2</td>\n",
" <td>Door 3</td>\n",
" </tr>\n",
" <tr>\n",
" <td>Door 1</td>\n",
" <td><font color=\"red\">No</font></td>\n",
" <td><font color=\"green\">Yes</font></td>\n",
" <td><font color=\"green\">Yes</font></td>\n",
" </tr>\n",
" <tr>\n",
" <td>Door 2</td>\n",
" <td><font color=\"red\">No</font></td>\n",
" <td><font color=\"red\">No</font></td>\n",
" <td><font color=\"green\">Yes</font></td>\n",
" </tr>\n",
" <tr>\n",
" <td>Door 2</td>\n",
" <td><font color=\"red\">No</font></td>\n",
" <td><font color=\"green\">Yes</font></td>\n",
" <td><font color=\"red\">No</font></td>\n",
" </tr>\n",
"</table>"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [],
"source": [
"from theano import tensor as tt\n",
"\n",
"with monty_model:\n",
" p_open = pm.Deterministic('p_open',\n",
" tt.switch(tt.eq(prize, 0),\n",
" # it is behind the first door\n",
" np.array([0., 0.5, 0.5]),\n",
" tt.switch(tt.eq(prize, 1),\n",
" # it is behind the second door\n",
" np.array([0., 0., 1.]),\n",
" # it is behind the third door\n",
" np.array([0., 1., 0.]))))"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Monty opened the third door, revealing a goat.\n",
"\n",
"<center><img src='https://upload.wikimedia.org/wikipedia/commons/thumb/3/3f/Monty_open_door.svg/640px-Monty_open_door.svg.png' width='500'></center>"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [],
"source": [
"with monty_model:\n",
" opened = pm.Categorical('opened', p_open, observed=2)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Should we switch our choice of door?"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"scrolled": false,
"slideshow": {
"slide_type": "fragment"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Assigned Metropolis to prize\n",
"100%|██████████| 1000/1000 [00:00<00:00, 2850.75it/s]\n"
]
}
],
"source": [
"with monty_model:\n",
" monty_trace = pm.sample(1000, init=None, random_seed=SEED)\n",
" \n",
"monty_df = pm.trace_to_dataframe(monty_trace)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>prize</th>\n",
" <th>p_open__0</th>\n",
" <th>p_open__1</th>\n",
" <th>p_open__2</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>1.0</td>\n",
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" <td>0.5</td>\n",
" <td>0.5</td>\n",
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" <th>3</th>\n",
" <td>0</td>\n",
" <td>0.0</td>\n",
" <td>0.5</td>\n",
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" <tr>\n",
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"text/plain": [
" prize p_open__0 p_open__1 p_open__2\n",
"0 1 0.0 0.0 1.0\n",
"1 0 0.0 0.5 0.5\n",
"2 0 0.0 0.5 0.5\n",
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"4 0 0.0 0.5 0.5"
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"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"monty_df.head()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
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"text/plain": [
"0.67300000000000004"
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"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
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"source": [
"monty_df.prize.mean()"
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},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
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0uE9RUZGSk5OVkJCgnJwceXt7y2Kx6P7775e3t7f27dt3i7MCAKBh+VVB4uzZs9q3b5+u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\nAIBp/w+79irkQT1BdAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0075eac208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"(monty_df.groupby('prize')\n",
" .size()\n",
" .div(monty_df.shape[0])\n",
" .plot(kind='bar', ax=ax));\n",
"\n",
"ax.set_xlabel(\"Door\");\n",
"ax.yaxis.set_major_formatter(pct_formatter);\n",
"ax.set_ylabel(\"Probability of prize\");"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"image/png": 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0uE9RUZGSk5OVkJCgnJwceXt7y2Kx6P7775e3t7f27dt3i7MCAKBh+VVB4uzZs9q3b5+u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\nAIBp/w+79irkQT1BdAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0075eac208>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"Of course this result can be derived analytically, but it is always a good idea to check our computations on cases where exact answers are known."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"<style type=\"text/css\">\n",
".reveal blockquote { \n",
" text-align: left; \n",
" width: 85%; \n",
" border: none; \n",
" box-shadow: none; \n",
" background: none; \n",
"}\n",
"</style>\n",
"\n",
"<center><img src=\"https://raw.githubusercontent.com/pymc-devs/pymc3/master/docs/pymc3_logo.jpg\" width=\"500\"></center>\n",
"\n",
"From the [PyMC3 documentation](http://pymc-devs.github.io/pymc3/):\n",
"\n",
"> PyMC3 is a Python package for Bayesian statistical modeling and Probabilistic Machine Learning which focuses on advanced Markov chain Monte Carlo and variational fitting algorithms. Its flexibility and extensibility make it applicable to a large suite of problems.\n",
"\n",
"[![License](https://img.shields.io/badge/License-Apache%202.0-blue.svg)](https://opensource.org/licenses/Apache-2.0)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"<center><img src=\"https://numfocus.wpengine.com/wp-content/uploads/2017/03/1457562110.png\"></center>\n",
"\n",
"As of October 2016, PyMC3 is a [NumFOCUS fiscally sponsored project](https://www.numfocus.org/blog/numfocus-announces-new-fiscally-sponsored-project-pymc3/)."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### PyMC3 features\n",
"\n",
"* Uses [Theano](http://deeplearning.net/software/theano/) as a computational backend\n",
" * Automated differentiation, dynamic C compilation, GPU integration\n",
"* Implements Hamiltonian Monte Carlo and [No-U-Turn sampling](https://arxiv.org/abs/1111.4246)\n",
"* High-level GLM (`R`-like syntax) and Gaussian process specification\n",
"* Provides a framework for [operator variational inference](https://arxiv.org/abs/1610.09033)\n",
" * Implements [ADVI](https://arxiv.org/abs/1603.00788) and [SVGD](https://arxiv.org/abs/1608.04471)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"To produce an interesting NUTS animation, we simulate a linear regression data set and animate samples from the posteriors of the regression coefficients."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"x_ani = np.linspace(0, 1, 100)\n",
"y_ani = 1 - 2 * x_ani + np.random.normal(0., 0.25, size=100)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": 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MQ3avRNXtgKYU3j5oeROUzYl1qZ3jPb4/EfkOE+WoCe6AJj/ebDXryf7zjRPr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\npBL/H6I1rhLNHKv3AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f00768cd048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"ax.scatter(x_ani, y_ani, c=blue);\n",
"\n",
"ax.set_title('MCMC Animation Data Set');"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using ADVI...\n",
"Average Loss = 20.537: 7%|▋ | 13953/200000 [00:02<00:29, 6348.40it/s]\n",
"Convergence archived at 14000\n",
"Interrupted at 14,000 [7%]: Average Loss = 55.812\n",
"100%|██████████| 1050/1050 [00:05<00:00, 180.45it/s]\n"
]
}
],
"source": [
"with pm.Model() as ani_model:\n",
" intercept = pm.Normal('intercept', 0., 10.)\n",
" slope = pm.Normal('slope', 0., 10.)\n",
" \n",
" tau = pm.Gamma('tau', 1., 1.)\n",
" \n",
" y_obs = pm.Normal('y_obs', intercept + slope * x_ani, tau=tau,\n",
" observed=y_ani)\n",
" \n",
" ani_trace_ = pm.sample(1050, tune=1000)\n",
" \n",
"ani_trace = ani_trace_[1000:]"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"ani_cov = np.cov(ani_trace['intercept'], ani_trace['slope'])\n",
"\n",
"ani_sigma, ani_U = np.linalg.eig(ani_cov)\n",
"ani_angle = 180. / np.pi * np.arccos(np.abs(ani_U[0, 0]))"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": 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qWxNREEWmD59Shbtw/SLj08eRdDfmg8oIPsjQ6DTNRp1KeWuTORFdol6rrPfO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\nhscboNNu4XB5lSSGm0Ia+/0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"text/plain": [
"<matplotlib.figure.Figure at 0x7f00517d17f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ani_fig = plt.figure(figsize=(4, 3))\n",
"\n",
"e = Ellipse((ani_trace['intercept'].mean(), ani_trace['slope'].mean()),\n",
" 2 * np.sqrt(5.991 * ani_sigma[0]), 2 * np.sqrt(5.991 * ani_sigma[1]),\n",
" angle=ani_angle, zorder=5)\n",
"e.set_alpha(0.5)\n",
"e.set_facecolor(blue)\n",
"e.set_zorder(9);\n",
"\n",
"ani_images = [(plt.plot(ani_trace['intercept'][-(iter_ + 1):],\n",
" ani_trace['slope'][-(iter_ + 1):],\n",
" '-o', c='k', alpha=0.5, zorder=10)[0],)\n",
" for iter_ in range(50)]\n",
"\n",
"ani_ax = ani_fig.gca()\n",
"ani_ax.add_artist(e);\n",
"\n",
"ani_ax.set_xticklabels([]);\n",
"ani_ax.set_xlim(0.9, 1.25);\n",
"\n",
"ani_ax.set_yticklabels([]);\n",
"ani_ax.set_ylim(-2.5, -1.9);\n",
"\n",
"mcmc_ani = ArtistAnimation(ani_fig, ani_images,\n",
" interval=100, repeat_delay=5000,\n",
" blit=True)\n",
"mcmc_video = '<center>{}</center>'.format(mcmc_ani.to_html5_video())"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
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"\">\n",
" Your browser does not support the video tag.\n",
"</video></center>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"HTML(mcmc_video)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Statistical workflow\n",
"\n",
"1. Tell a story about how the data may have been generated\n",
"2. Encode that story as a probabilistic model\n",
"3. Perform inference\n",
"4. Check model diagnostics\n",
"5. Compare models\n",
"6. Iterate (`GOTO 1`)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### Statistical LEGOs\n",
"\n",
"<center><img src=\"http://austinrochford.com/resources/talks/img/stat_legos.png\" width=\"900\">"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Case study: NBA foul calls\n",
"\n",
"<center><img src=\"https://upload.wikimedia.org/wikipedia/commons/2/2d/Tom_Washington%2C_Monty_McCutchen%2C_Brent_Barnaky_on_March_30%2C_2011.jpg\" width=\"750\">"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"The foul calls data set was derived from the NBA's [Last Two Minute Report](http://official.nba.com/nba-last-two-minute-reports-archive/) by [Russell Goldenberg](http://russellgoldenberg.com/) of [The Pudding](https://pudding.cool/). The data set, along with the code used to scrape and parse it is [available](https://github.com/polygraph-cool/last-two-minute-report) on GitHub.\n",
"\n",
"The Pudding has published two [very](https://pudding.coo/2017/02/two-minute-report/) [interesting](https://pudding.cool/2017/03/home-court/) visual essays using this data that you should definitely explore.\n",
"\n",
"I have also [written](http://austinrochford.com/posts/2017-04-04-nba-irt.html) about using this data set to understand and quantify player skill in drawing/committing fouls."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"NBA_DATA_URI = 'https://raw.githubusercontent.com/polygraph-cool/last-two-minute-report/master/output/all_games.csv'\n",
"\n",
"nba_df = (pd.read_csv(NBA_DATA_URI,\n",
" usecols=['seconds_left', 'review_decision',\n",
" 'period', 'date',\n",
" 'away', 'home',\n",
" 'score_away', 'score_home',\n",
" 'disadvantaged_team', 'committing_team'],\n",
" parse_dates=['date'])\n",
" # the report contains data from the last two minutes of the fourth\n",
" # quarter and overtime periods; for simplicity, we focus on plays in\n",
" # the fourth quarter\n",
" .where(lambda df: df.period == \"Q4\")\n",
" .dropna(subset=['period'])\n",
" .drop('period', axis=1)\n",
" # we restrict our attention to the 2016-2017 regular season\n",
" .where(lambda df: df.date.between(datetime.datetime(2016, 10, 25),\n",
" datetime.datetime(2017, 4, 15)))\n",
" .dropna(subset=['date'])\n",
" .drop('date', axis=1)\n",
" # empty review decisions should be incorrect non calls\n",
" .assign(review_decision=lambda df: df.review_decision.fillna(\"INC\"))\n",
" .dropna()\n",
" .reset_index(drop=True))"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Last two minute report"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>seconds_left</th>\n",
" <th>review_decision</th>\n",
" <th>away</th>\n",
" <th>home</th>\n",
" <th>score_away</th>\n",
" <th>score_home</th>\n",
" <th>disadvantaged_team</th>\n",
" <th>committing_team</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>111.0</td>\n",
" <td>INC</td>\n",
" <td>UTA</td>\n",
" <td>POR</td>\n",
" <td>104.0</td>\n",
" <td>113.0</td>\n",
" <td>POR</td>\n",
" <td>UTA</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>102.0</td>\n",
" <td>CNC</td>\n",
" <td>UTA</td>\n",
" <td>POR</td>\n",
" <td>104.0</td>\n",
" <td>113.0</td>\n",
" <td>UTA</td>\n",
" <td>POR</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>98.0</td>\n",
" <td>CC</td>\n",
" <td>UTA</td>\n",
" <td>POR</td>\n",
" <td>104.0</td>\n",
" <td>113.0</td>\n",
" <td>POR</td>\n",
" <td>UTA</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>64.0</td>\n",
" <td>CNC</td>\n",
" <td>UTA</td>\n",
" <td>POR</td>\n",
" <td>104.0</td>\n",
" <td>113.0</td>\n",
" <td>UTA</td>\n",
" <td>POR</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>62.0</td>\n",
" <td>INC</td>\n",
" <td>UTA</td>\n",
" <td>POR</td>\n",
" <td>104.0</td>\n",
" <td>113.0</td>\n",
" <td>POR</td>\n",
" <td>UTA</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" seconds_left review_decision away home score_away score_home \\\n",
"0 111.0 INC UTA POR 104.0 113.0 \n",
"1 102.0 CNC UTA POR 104.0 113.0 \n",
"2 98.0 CC UTA POR 104.0 113.0 \n",
"3 64.0 CNC UTA POR 104.0 113.0 \n",
"4 62.0 INC UTA POR 104.0 113.0 \n",
"\n",
" disadvantaged_team committing_team \n",
"0 POR UTA \n",
"1 UTA POR \n",
"2 POR UTA \n",
"3 UTA POR \n",
"4 POR UTA "
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nba_df.head()"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"# there are a few typos in team names; this dictionary corrects them\n",
"TEAM_MAP = {\n",
" \"NKY\": \"NYK\",\n",
" \"COS\": \"BOS\",\n",
" \"SAT\": \"SAS\"\n",
"}\n",
"\n",
"def correct_team_name(col):\n",
" def _correct_team_name(df):\n",
" return df[col].apply(lambda team_name: TEAM_MAP.get(team_name, team_name))\n",
" \n",
" return _correct_team_name\n",
"\n",
" # correct typos in team names \n",
"df = (nba_df.assign(away=correct_team_name('away'),\n",
" home=correct_team_name('home'),\n",
" disadvantaged_team=correct_team_name('disadvantaged_team'),\n",
" committing_team=correct_team_name('committing_team'))\n",
" # turn home and away team scores into committing and disadvantaged team scores\n",
" .assign(score_disadvantaged=lambda df: (df.score_away\n",
" .where(df.away == df.disadvantaged_team,\n",
" df.score_home)),\n",
" score_committing=lambda df: (df.score_away\n",
" .where(df.away == df.committing_team,\n",
" df.score_home)))\n",
" .assign(score_diff=lambda df: df.score_committing - df.score_disadvantaged)\n",
" .assign(foul_called=lambda df: 1 * (df.review_decision.isin(['CC', 'IC'])))\n",
" .assign(seconds_left=lambda df: df.seconds_left.round())\n",
" .drop(['away', 'home', 'score_away', 'score_home', 'review_decision'], axis=1))"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Story\n",
"\n",
"Close basketball games usually end with intentional fouls."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
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Z8djcuXPxu9/9DoAgJBoaGtDc3Aye59HQ0IApU6agsbERL7zwAl599dV+e49D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OR0wpkzJ9HY6EKHDmno3FlfQ6NFIj53WloKzGZOeG+r1YTkZGfIWtLSkuHzeZCTk677erW1/HeZ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\n+OxWkgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f004fce6ba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"(df.groupby('seconds_left')\n",
" .foul_called\n",
" .mean()\n",
" .plot(c='k', alpha=0.75, ax=ax));\n",
"\n",
"NBA_XLABEL = \"Seconds remaining in game\"\n",
"ax.invert_xaxis();\n",
"ax.set_xlabel(NBA_XLABEL);\n",
"\n",
"NBA_YLABEL = \"Probability a foul is called\"\n",
"ax.yaxis.set_major_formatter(pct_formatter);\n",
"ax.set_ylabel(NBA_YLABEL);"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Z8djcuXPxu9/9DoAgJBoaGtDc3Aye59HQ0IApU6agsbERL7zwAl599dV+e49D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OR0wpkzJ9HY6EKHDmno3FlfQ6NFIj53WloKzGZOeG+r1YTkZGfIWtLSkuHzeZCTk677erW1/HeZ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\n+OxWkgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f004fce6ba8>"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Model\n",
"\n",
"The foul call probability varies over time."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"Throughout this case study, $y_i \\in \\{0, 1\\}$ denotes whether or not a foul was called on the $i$-th play, $t_i \\in \\{0, 1, \\ldots, 120\\}$ denotes the number of seconds remaining in the fourth quarter during the $i$-th play, and $p_i$ denotes the probability that a foul was called on the $i$-th play.\n",
"\n",
"Note that for simplicity, we have rounded the time remaining as reported by the NBA to tenths of a second to whole seconds. We can obviate the need for this simplification by using a Gaussian process instead of a discrete-time Gaussian random walk to model the time dependence in this data.\n",
"\n",
"We model the logodds that a probability is called by a gaussian random walk with 121 steps as follows.\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"\\beta_0\n",
" & \\sim N(0, 100) \\\\\n",
"\\beta_{t + 1}\\ |\\ \\beta_t\n",
" & \\sim N(\\beta_t, 0.01) \\textrm{ for } i \\in \\{1, \\ldots, 120\\} \\\\\n",
"\\\\\n",
"\\log \\left(\\frac{p_i}{1 - p_i}\\right)\n",
" & = \\beta_{t_i} \\\\\n",
"y_i\n",
" & \\sim \\textrm{Bernoulli}(p_i).\n",
"\\end{align*}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"seconds_left = df.seconds_left.values.astype(np.int64)\n",
"foul_called = df.foul_called.values\n",
"\n",
"n_sec = np.unique(seconds_left).size"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"PRIOR_PREC = 100."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "-"
}
},
"outputs": [],
"source": [
"seconds_left_ = theano.shared(seconds_left)\n",
"\n",
"with pm.Model() as nba_model:\n",
" β = pm.GaussianRandomWalk('β', tau=PRIOR_PREC, init=pm.Normal.dist(0., 10.),\n",
" shape=n_sec)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"Transform logodds to probabilities, specify observation model."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"with nba_model:\n",
" p = pm.math.sigmoid(β[seconds_left_])\n",
" fc = pm.Bernoulli('fc', p, observed=foul_called)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Inference"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"@contextmanager\n",
"def quiet_pymc3(quiet):\n",
" if quiet:\n",
" loglevel = pm._log.getEffectiveLevel()\n",
" pm._log.setLevel(logging.WARNING)\n",
" \n",
" yield\n",
" \n",
" if quiet:\n",
" pm._log.setLevel(loglevel)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"N_SAMPLES = 1000\n",
"N_TUNE = 1000\n",
"\n",
"def sample_from_model(model, n_samples=N_SAMPLES, n_tune=N_TUNE, seed=SEED, quiet=False):\n",
" with quiet_pymc3(quiet), model:\n",
" trace_ = pm.sample(N_TUNE + N_SAMPLES, tune=N_TUNE,\n",
" n_init=50000, random_seed=seed,\n",
" progressbar=not quiet)\n",
"\n",
" return trace_[N_TUNE:]"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using ADVI...\n",
"Average Loss = 2,955.1: 100%|██████████| 50000/50000 [00:53<00:00, 937.33it/s] \n",
"Finished [100%]: Average Loss = 2,955.1\n",
"100%|██████████| 2000/2000 [02:33<00:00, 13.07it/s]\n"
]
}
],
"source": [
"nba_trace = sample_from_model(nba_model)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"source": [
"* Automatic sampler assignment (manually configurable)\n",
"* Automatic initialization of HMC/NUTS using ADVI"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Model diagnostics &mdash; posterior predictions\n",
"\n",
"To sample from the posterior predictive distribution, we change the value of the Theano shared variable `seconds_left_`."
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"N_PP_SAMPLES = 1000\n",
"PP_OBS_ALPHA = 0.35"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 1000/1000 [00:06<00:00, 147.16it/s]\n"
]
}
],
"source": [
"pp_sec = np.arange(n_sec)\n",
"seconds_left_.set_value(pp_sec)\n",
"\n",
"with nba_model:\n",
" pp_nba_trace = pm.sample_ppc(nba_trace, N_PP_SAMPLES)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
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nlVPbXX5jRMLC6XSFpJranR6e/zCbQ9Ui5ecDhWi1WkaMuACDwciePbubrClk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kAAAg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\nTicaMCqSAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f00536b5cc0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(8, 6))\n",
"\n",
"(df.groupby('seconds_left')\n",
" .foul_called\n",
" .mean()\n",
" .plot(c='k', alpha=PP_OBS_ALPHA,\n",
" label=\"Observed\", ax=ax));\n",
"ax.plot(pp_sec, pp_nba_trace['fc'].mean(axis=0),\n",
" label=\"Posterior expected\");\n",
"\n",
"ax.invert_xaxis();\n",
"ax.set_xlabel(NBA_XLABEL);\n",
"\n",
"ax.yaxis.set_major_formatter(pct_formatter);\n",
"ax.set_ylabel(NBA_YLABEL);\n",
"\n",
"ax.legend(loc=2);"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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nlVPbXX5jRMLC6XSFpJranR6e/zCbQ9Ui5ecDhWi1WkaMuACDwciePbubrClk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kAAAg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\nTicaMCqSAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f00536b5cc0>"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Model diagnostics &mdash; sampling\n",
"\n",
"> The folk theorem [of statistical computing] is this: _When you have computational problems, often there’s a problem with your model._\n",
"\n",
"&mdash; [Andrew Gelman](http://andrewgelman.com/2008/05/13/the_folk_theore/)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"For an excellent overview of Hamiltonian Monte Carlo and its various failure modes and convergence diagnostics, consult [Michael Betancourt](https://betanalpha.github.io/)'s excellent paper [_A Conceptual Introduction to Hamiltonian Monte Carlo_](https://arxiv.org/abs/1701.02434).\n",
"\n",
"For the purposes of brevity in this talk, we focus on the visually intutive comparison of energy distributions."
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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KOjTalpOTTSAQ4Ec/OvQN3G63M2ZMQrPbmTPnUpYvf4Df/vZWTCYz69at5Zpr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\nEBEREQmFQoiIiIiEQiFEREREQvH/Ac86YmJCAqMcAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f00536b5710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.energyplot(nba_trace).legend(bbox_to_anchor=(0.6, 1));"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"PyMC3 also includes standard Bayesian [sampling convergence diagnostics](https://github.com/pymc-devs/pymc3/blob/master/pymc3/diagnostics.py) (Geweke test, Gelman-Rubin test, etc.)."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Model selection\n",
"\n",
"PyMC3 can calculate:\n",
"* Deviance information criterion (DIC)\n",
"* Bayesian predictive information criterion (BPIC)\n",
"* **Widely applicable/Watanabe-Akaike information criterion (WAIC)**"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"seconds_left_.set_value(seconds_left)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"scrolled": false,
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"WAIC_r(WAIC=5834.1378643060807, WAIC_se=79.294920797807535, p_WAIC=16.602451)\n"
]
}
],
"source": [
"with nba_model:\n",
" nba_waic = pm.waic(nba_trace)\n",
" \n",
"print(nba_waic)"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"def get_waic_df(waic, name):\n",
" return pd.DataFrame.from_records([waic], index=[name], columns=waic._fields)\n",
"\n",
"waic_df = get_waic_df(nba_waic, \"Basic\")"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Story &mdash; take two\n",
"\n",
"The trailing team has more incentive to foul than the leading team."
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"COMMITTING_TEMPLATE = \"Committing team is {}\"\n",
"\n",
"def get_committing_title(committing_trailing):\n",
" return COMMITTING_TEMPLATE.format(\"trailing\" if committing_trailing else \"leading\")"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": 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TE415876AQmGFCROCodPpMH36FPTu/RpmzPgCOp0ON2/egJWVEp6e3pg4cQrW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\nw7fswrtv2I6yyvZmQZRQ0YAHnpvHZ/75CTx/ktG29frnCfPeTImIkd4Qf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OH9b96C5559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sNlsNCHsrO7MDZaCz2WzTc8SpZZrV5qRxa10NtJHIYcyzdva5jdagPZMuEJCjQE6OQWNhtcOU\nRXHLQNs5GeRc1K+BdleCrNfGyq0G2u245s+bF1hrHVMj4GnKTpFXJ3EOaysbflyNuiPvFG72PasK\n5HrXQJuDGj6fojsCbi2sCLyD43SvBoV7/ZYRL1Rn3jHavHlLVZRPwMTEJJ588nEA9LsFqsey/w1p\nniUSKwCYo0iCJgSnrKids3Xu3CzK5bJtv0o6t1tgwC3Y4vf7IQgCNE1DIBD0ZGwMDw9jdnYGs7Oz\nep04oVgsuWZ6RFHUsyjE6OBLA1TVEM4BjPlN91fbq1Sp1tmz9yuVih6oYlTqEpfJa86QIoaBUQNd\nuxaGQiEsLMxXg0VmxouxrrYz0G24g1GIrRlo8zNB71Nrxc7OTuthXhEwB5plbtfK+uCPCUDXkGjG\naZma2oPV1VVP12IEKcoQRRGlUslkN1Df7tbVQPMZaHPQ0bClZO4zUjUbb66P5z/vXAPtJHZqry9B\nr1Hwcq31z+y7RIHPNp3FpXGyCtZZ1/eJiUnE4x1NJU7swLeZs6u5bqONZtF2oC8QUFaEsiH8oijL\nsu642RmTPp8PgiDYGuNWNUon1KuBNtpYmSncbkJHjWag6d6IqrQWCjdl6JxaWAF8ZNe6MbF7DIVY\n/2m+/tao//FK4Ta3OGllBpoXarHCql7MX6+3Gmie1WA/fhtBhzKcIOdMOP0+dF+Tk9u47xtZUoJT\nHRRRuEltNBwOm4xfciABuzZWtc7WzMwZAMDo6GjNNZNxYFcSYVynM0XPaNXm3APaCqor5Ft0EUql\nYl2FVkXxQVVzekCKb5eiKOQsmOmLFNywm+8+n19/xq1iXWwtY0b92mugS/q1sHEzO9Ds/JmaXthe\n+6G30YYkSfpeaGVOWGugaa57CWRuBMwZ6NZQuK0q3M0EjAcGBj1/lm/3WSiwdcNqN4TDoapDLq85\nw86Pj5UhQ3/zgWWm0m6fgTaCjvXaWNXWQEuSZMsaIgq3pmn6er+2DDTpRWS5jHmzKtzugnX9/f3o\n728dO4O3XdsZ6DZaiTaF+wIBGXsGhdscvSQj0G6xYoCJswAAIABJREFUFAQBPp/fVjXZoHC7Z6Bp\nQ3F2oGkRNxv8bk4U/5qXDdmagS4WixBFsakFLxBgStPhcNiRluqswm3UgzIxrdoMtNdrsjrQrRSx\nqKfCzW/SfLbVWwa6PnV6IyjcfJbTCVZqLg+7nphOv6GV6UAZaPYdomdWbBXlrc5WqVTC+fPnEI/H\na7K97L6c214Z1+keoLCKYdUDndPa57xSqVR71LpH/H0+BaIo6oEK/rexKrKT8eieRffp65O1J3ax\nWHDtSesFdH00xqyfu9/02/FK3NY6cLfWZG20wYNnGtWKiIn6ewCba2sRdGo1RFHQn7VWiYjxe5OT\nyGgrwQc6ncrWgsEQyuUyisXCulK4DVuK/4zoKCJWP3lhn4Fm3UDsfyd+Pq6lmwmB7KlcLqs78msV\nEWsV26EejLFQbcVD22ijWbRDMRcIyGEhepc1A01+jNPC7/f7kMvVOtBEW6xHg+7o6MTk5HaMj4/b\nvu9E4XaLWLv1SrSDnQPdDH0bYEGF/fsvcc1eO6lYl0olXXwrEPBjdXXV9B7gnbZsHjcmKMbXJq8F\n9Wqg+Y3J7EDXr4F2UpW2ngNYX0VLWZYhCIJrLTbNe7sgkZ0D7sQisM4VEhEDqPe337HeXxAEKIoh\nvDY/P4dKpYLBwWHba/ZSX1uvXUgwGMTKinfDyNoXmWDNvDph9+69KBaLnLiPkd2nKWilcANwnO9+\nfwCJRKIqnsiMPFaTnEGpVNLP06yBRb+JUQOdr8my80rcZNy2Heg2GgW/Flsza/x7lBG0ayX3SoHq\nc4HWtbGi9likfOxlz1kLjECnqq/11v2AAn+sD/Ha9l9zcsBKQd6KUChsWmtYBrpYp42VewbaaqeU\ny87dQPjAL5UFriUDLQgCgsEQstmsvi6u3YGmUof1dUP4FqyM4t8aangbbWxoBvqxxx7DH//xH+Pq\nq6/G9u3b8e1vf9v0vqZpuPvuu3HVVVdh7969eNe73oWjR4/WPe69996LG2+8Ebt378aNN96I++67\nz/T+V77yFRw6dAgHDx7EPffcY3rvxRdfxPXXX+/aJmcjQBRrg8JtXz/s7EAHUCoVa6KUFI2tT+EW\nsWfPXttsGbsGewq34UTVbrh2dT5uqFXhLnhqYeGE8fFNrjQwpww0r9Ds9wdQLpe5CH1jWVfruDVb\nD2Z/bEOoxQrWa7GWJgZ4y0BTdtNLBnq9KVGMjubsQBcK+RpqrvHd2nnrlIHme2b7/QFIkmSqnwJI\nnM3+GWTK5ezYc3PnAQADAwO2n/Wiwt3qDDQFhazBCBoPvtezHQYGBjE2ZgTY+Bpj61zgDTun+cG3\nKKMMNNHMC4WCbb1go6DfhOh7VqOa6gIzmYz+WxhtrIy+4G204QY+y0z1xIaAo7GGsDZK2prqUVsN\nQeDbWLWWIcUo3N66cKz1XACqbQuZzWOtoeX3vbUGsM0MQfOxOju7sGvXlOm1WhExgwVTr22TWxsr\np2yqwQBiGWgvQpP1EAqFUCjkOV2Lxn5TJxXu9c5A851s7MRD22ijWWyoA53NZrFt2zZ8/OMftzV2\n//Ef/xH33HMPPvGJT+Cb3/wmurq68N73vteUAbTiqaeewkc+8hHcdNNN+N73voebbroJf/Inf4Jn\nnnkGAPDSSy/hS1/6Ev76r/8af/M3f4MvfOELOHLkCAD2AN9xxx248847PSkTryesvZytFG67f/Nw\nEhKjv+tRuOvByVlzi1g3WgPNt2WqVCo1QiCthpMDXSyWdGeCspK0KTfam7qWwt1cPZjbsb3UQJND\noyg+T7+FF+eBsunrvQEqilJDO+aRz9dSc/nvAtYMtLP4Gc03Q2naTAFX1Yrj/fKtv+bm5qAoPsdM\nk9H2qnkKN6nUxuP2QS872AUjnETV6sGujRXNOTPF0X6+87R3ykBTAK9YLLbEwGJzp+hI86d6bkbh\nprXS6ANN19JGG26wChUBdm2sKnqAfK3OTCtBji5giHA5lT01AlFkyuQb4bTwWUZ6Xq3POj/ma3eg\nG7VtzG2s+CBsPRVuq+NJKJdLdSncpVJJLxlY6z1TBj+TWW3q97S23WwV26Ee6FppXrQd6DZahQ11\noF/72tfiox/9KG644Yaah1nTNHzta1/D+9//flx//fXYtm0bPve5zyGTyeAHP/iB4zG/+tWv4vLL\nL8cHPvABTExM4AMf+AAuu+wyfPWrXwUAnDhxAtu3b8fBgwdx8OBBbN++HSdOnNC/u23bNhw6dGj9\nbtojSFWXYKVwE5wWQadWVvl8vlojvTbaCr9B8XAzctdSA70WBW6vcGtjZWSgKTDBHOelpUUA8EzB\ns1PhblUNTiMq3HQ/fH9sNxi9xZ2ZGa3MprtBUWTXDHQ+n3OkCBq0ZWPeGq3I7OtyASMzaScC5yT2\nwijeFSwuLiKXy6K/f8DREKVssJtzVo/CvWnTFlx33RsbooPaBSOsmVevMIILpRomCk+Pd5rvfJ29\nXQa6FQaWz+eDqqrIZJjjwrf/Yn8Hqj3SV11ExNoOdBvu4Ndiq5PEK0S3QtCp1WDZUa3abrF1AV62\nvjWmGdIs+PE3MtC1NdD8ta0F/JrmhQ5OY2yn61CvBtrOTiHBOqdx5cU319oDmkB7IitxW4sDbc1A\nr68bYgha5qvnazvQbbQGF4yI2MzMDBYWFnDllVfqrwUCARw4cABPPfWU4/eefvpp03cA4KqrrtK/\ns337dpw6dQqzs7M4e/YsTp06hW3btmFmZgb//M//jD/7sz9bnxtqECQERnASqXAyyA2Hx+xAF4sF\nx+xcI3By1tyUgs1RWu810JpW4VrKrF+9ip04BxlAFHAgg7tQKEDTNCwvLyESiXhmLFjHrZVOp1MA\nwE4Zne7Hq/Ir3Z+7yFXrjC03sDrWEjRNq3mPnDerY0Sg67NT4bbLuFoz0PQZo8erewYaAE6dOgUA\ndZVE+fpcO9QT9BFF0bHkwvmccs056e9G25HR53kRMbpW3sCsR+FmDnQWkiTpdYNmEbHm1y5yhldX\nUwBqS1mI2siLiJHjTH2x3coY2mgDMNfgGm2srBlolRN0unAo3Lxj00rBL0mS9LVlo+pcSSQMsBMR\nM/aIjc5AG3OAmDreVbjt7BSjhZU9a4iOmU6zda8VARt+/NaSgaZ6eytrab1gtFRkDnRbRKyNVuGC\nCcUsLCwAAHp6ekyvd3d3Y35+3vF7i4uLNd/p6enRjzcxMYGPfOQjeO973wsA+OhHP4qJiQn8wR/8\nAT7ykY/giSeewBe/+EVomoYPf/jDuO6661yvs7Mz1NIHsLc3qv+7r68DyWQSANDf36G/190dRS6X\nrN5b1PQdQjLZjbNng4hGFdP7fr+Irq5O2+80is7OCCIRn+lY5fIqYrEgentjNefQtBxisWD1uo33\nna5FVVXEYkHEYgFEoz7EYkEMDHS15NrtkM/HEIsF0dER1M+Ry+Wq9xNHb28Uq6tdmJ4OIhyWoSgq\ngkEZExObPF9TNtuBWCyIcrmM3t4oQiEF3d21Y9UsOjrCiMUCpuOVSiXEYkF0dxtzJZmMIxYLYmio\nx/O5OzrCCIVkx8+HwwoUJeR6vFbcZ29vHMXiKjo7gzVObyqVQiwWxOBgt+25FIXNqWjUmLfz8/7q\n3Kp9Lvr7O5HPpzA62ofe3ihSKTZu8Tgb43BYQWen/TPY39+JRGIep0+fRiwWxO7dk66Blt7eOAqF\nguMYnTvHrrOvL96y+dLb24FKpYDu7rBu0KRS/qaetWBQQCwWRCTi05/d/v4ORCIR/T0AjvO9WOzB\n8eNBRCIKFAUYHOzB8HAPYrFgdZxDpmexGfT3dyCdXoQksesbHu6tOdbQUC/Onz8Pn4/N+cFBoz9v\nb28HFEVa9znextqxnntz/c/GMDsbRGdnEIVCoPrcxtDdHYUsl/U1pFxm/x4b60csdmHMm66uCHK5\nICqVCiIRH2TZec1v9LjJJAuCOdktrUI+b6zTuZyEWCyIkZEe037R3R3W16Surojpehq9tnBY0o/V\n1xdDV5f792mMo1F/jb0Uj29FpZLDzp07bB1dOzslkxEd7S4ASCTYeIgiswVGR/trPtfoPatqP44f\nZ/fc0dH477m0FEUsFkRnJ7MZEolgy/c3e+QRiwURCslYWTHboq8WvNrul7De933BONCEVtTeMJVF\n4zi33HILbrnlFv3v733vewCAQ4cO4frrr8c3vvENVCoV3HLLLbj33nvR3d3teOyVlazje42itzeK\nhYW0/nc+X0EqxaiMiUQOAHsvnS7oryeTedN3CKurJaRSOczOLiEUYpROVVWxtJSCJAVtv9MoMpkS\nyuWU6VhzcwmkUjnb61pZyerXnUqx9633zEPTNKRSOfj9q5idXUIqlUMmU2rJtduBrm9xMY2uLhrr\nlOm8mUxZH9f5+SRSqRxE0ft4JhI5pFI5lMtlnD49j1Qqh2Cw2LJ7ymSKANKm4xUKbL5EIsZvkk4X\nkUrlkMtVPJ87l1NRLiccP7+ysopQKOT4vttv3QhWV4vV32C5xsCYn19wva9MJo9UKof5eeM+aM4m\nEnlIkvk72Sz7vQsFYGEhjWSSfX9uLoFwOI1EIgNZtr9nmiuxGCCKfqTTJaTTztTzbLaMlZWk4xgt\nLqaq15mDILRqvpT0saQMDY1HKlVo6PeiebawkERXVwSpVA4rKznkcpr+HgAEAvbHTafZtczMzGNh\nIYG+vn4kk4XqeK9AUSL6/Tc7j2hdPH36PFKpHFZXyzXHKpUEpFI5pNOslt68JqtYWcms+xx/tRo4\nrcR67s31kEoZ68TSUrr6LGRRqfiQTtM+k0Imk0EqlUM2W0GhsD77WqOgNa5SqWB5Oe26pjeCdDqv\nrwHpdGNrS6Oge5ifT+L8+WVkMkUkEnkA5hKkYpGV/PD2SjPPcLFY1O9tZSULVXXXj0ilCvr8oDUt\nGDTOOTa2DZmMikym9jrIhuDtlFQqWV2z7MeVznfq1CxSqRzyec30uWbuOZtV9Xt22gPdkEhkq/tF\nCj5fDAsLxv4WCq3f3KDxk6RlAGh4n/t1R6v2qF83bMTefMFQuHt7ewEYmWjC0tJSTYaZR09PDxYX\nFz1/Z2VlBV/84hdx11134emnn8b4+DgmJiYwOTmJ8fFxXXzslQAv9OVE4XaiM9r17TUExFpTRyzL\nco2ImFuv1kZroKn1xcbVQNfS0o2ardoaaJpn3d3O89EKnkL82GOPAAD6++2VmZsBiZPwsKst6u3t\nw+DgEEZGRjwf2+dTXFWiS6WSI4WslXBqvwTUV5k3KNjGGBGNzo6yPDIyhqGhEf035tuQ1etLzOsM\n9PXV/439fj80TXNs0VVPRKwZGGNpnNNrGyu3Y1mv1azCbT9HqDwjkUgAYBRBURShKAqKRaMGei10\nS/pNUimicNcyAqi2T9O0mpIRotnblQ+00QbB3MbK3KrIWgNNCv8XCngKN9N4aFWJUWM057WArllV\nVdf2l0RDXktZCDufcxsrO9D57Cjc9UA11vweVq8bSC2Fe+0lA3z5VzO/p7MK98bQ+8mmbIuItdEq\nXDAO9MjICHp7e/Hwww/rrxUKBTz++OPYv3+/4/cuuugi03cA4OGHH3b8zmc/+1m8613vwsjICDRN\nM7W3IZn7Vwq8E8AvKvwD7yRYQYYfORT8v1ulMC5JoksbK/caaK8bBuuXqOpG/UarcJNYFTkAFJjI\n5wtYXFxAMBiq6SXrBhqXI0eOYHFxAUNDI5iY2NqS6wfYGHtRRvf7/Th48EpEozHPx/b5/I7Ow0a1\noABqlbB5kDCIUw20ncPoJiLW3d2NK644WNPPmG9l5nTPfKDKS5DEqg5qRaMt07zAXpW8sd7mBFEU\nq3WOpZp1QBRF/flyFl1jz1YySQ40M9B8Pj8KhaKu1rpWFW7AEFe0Wwv5elRrEKEtJNaGF/A1uPQs\n0F5tVeHma0kvBJBzx1pwOWs8NApznfB6O0lGjXGhkHdMGtAa08oaaC8iYnwrJa/fsX7XbKe462Pw\nAQWgNTX3sizr9tjaVLg3uo2VtQa67UC30Rps6EzKZDI4ffo0APYQzc7O4vDhw4jH4xgaGsKtt96K\nL3/5y9iyZQs2bdqEv/u7v0MoFMJb3vIW/Rjvfve7sXfvXnzsYx8DANx666145zvfib//+7/Hdddd\nh/vvvx+PPPIIvv71r9ec/+GHH8axY8fw6U9/GgCwZ88enDx5Ej/96U9RqVRw8uRJ7NmzZwNGwh5O\nGWg+kutEcTfaYBmGXquzuJIkQ1XNNDk3pVz+ur0uWtQv0dpSZj1g9Fc0Iru0wVnbWC0tLaJYLGBk\nZKyhc9DGXiqVEI/HcemlB1pSpkCQJLEmS9yqjcnn8+lBJmvt8Ub1gAbsnT6CU3siArXZ4h1oGh8v\nbZvo9yPjEqjfSk5RFNcyEIK5lVWtgUOBkVaOMa/OSmg2A03HIxExa/sbSZJRqRQdr19RFIiiEZQj\nx0JRFORy2ZaIzPCsAEVRbK+FLwuwGt58O7dWMXna+M0D7+RYAz/0/2x2FZVKBeGw9wDsRoAcG0OY\nqrUil608phNojPN5Jj7o9KyGw61xoAF2T+VyuaEWnfVYTPbfZWsqb6dYA/1W8MFQQRBaFrQJhYIo\nFgstUuGmAPHGqHBvlOp3G68ebKgD/fzzz+PWW2/V/7777rtx99134+abb8ZnP/tZvO9970OhUMCn\nPvUpJJNJ7Nu3D/fcc48p43fmzBkMDg7qf1988cV6f+e7774bo6Oj+PznP499+/aZzp3P53HXXXfh\n85//vL7g9ff346677sKdd94JTdPwqU99qq5y7nqCX/SdKNxuCsCCIJjaDjXas7geGIXbSYW7Xhsr\nb06jIIgb3saKj+wavQIV/TM+n1931NzKCezAU8EvvvhQyw0JURRr+kBbKYTNgs+QOjnQG5GBtssi\nE3I59ww0UNv7uBFDkW/fVm8DJgZJf3+/p7Enh9WJJk8GRivnjHtf7Mbp+ETzZ4ak+TplmSl+u10/\n/2yRI0vtwAwF37VkoA0H2mkd5OmN1jEwekE7lzK00Qbf7s5aemDQaVk93oXUwgowrpP2vlapIpvb\nKG5MlpHahK13BprOSYHDerAGKRqhkNtnoN33X37NDYXCLQvah0JhJBKJpn5Pqwr3RmWgrftPu41V\nG63Chs6kyy+/HEeOHHF8XxAE3H777bj99tsdP/PTn/605rUbbrgBN9xwg+u5A4EA7r333prXb775\nZtx8882u390oUBZNkiTHntBui7XfHzD1gSYntHUUbqPOy9qeqV4bK6+bMvVLtLaUWQ+4bUx85srv\n9+nj2qgDHQ6HcdFF+7F9+2aUSq3fKBgrwD6osVZDyC1Duh7OnRPcHGgvZQqsdZO5VIOnGLuBp3DX\n60scjcZw0UUXY2pqK3K5+jWzxHJwamXVTLaiHuj3squBbua3lCQZpVIGqqrWfF9RZORy7gaL3+/T\nHWjKktCzR8GRtWQMaIwB5yBLIBColkKopueeXR850O1WVm04g6fMWttYCYKglyYBRhb0QoHVgW6V\ns8vvP+vdqojWHmoT5uxAUw10Kxxo9/7NPOj+DQe6kQy0XamZ+/7L6060MmBD47c2CjfbG439bX3n\nBrHQ3MoN22ijGbS5DBcQaNG3Gpy8AenuQPssImKtzUDzzgTBLSvXaK9EgGqgWQZakqR1jU7aiXNY\nM9CAQY/3+fwN1RATtmzZio6OjrVcqiNYBrpiqlO2GnDNwi1D+kpQuO0c6Hw+B5/P7/pcWDPQrBe3\nt2yrUduoeoqYb9ky4blG3hhf5xpoazBtrSAH0VoDrSi+ps7j8/lQqVRQLBZrDG9aL9zmCF+2Qtkh\nWq9yOWYMr8XYNWegnYMsVCNoZbzQ3Gv3gm7DDbT/8UwVft7ya0YrBJ1aCatz16o9l8+yrvc+Qcen\nYJzTsx6Pd0AUxZbQ6Gm9ayQD3SoRsXrOIP96K3uO09xtDYW79SVKTnDSFGqjjbWg7UBfQKBF3/qA\nmyO57hloXggtny/or7cChpFgLORuWTmKvDu9bwdRFHSDfD3p2/w1UUQUMBwLPnNF49fT09NSZ6YV\nsMui18uUegWNgV32zaDur/9mZIiI2TnQeUcFboKiKKbMUKlUW9PtfG6ewu1eA90oyJl1UuFW1Vpa\n9FphXwNdaoq+bT5esWa+0THdMlp83Th9nl6jEpS1zGM+oxwMOq+DZBhax4GYDXxpTBttWMHXWdqV\n0PBrxoVO4W7VmmOmcK/vPmHVX7AySQiRSARvetNbsHnzljWfU5JkvXNI/c9SkKJxB9reTvGmwg20\nNmCzlgy0VYW7VXaKFzTDhmyjjXpoO9AXECjzYjU4vahwA4bhSdmSVqtw884EoV4tTiM0J8DIqJZK\nxXUVEKNzAdYaaHMbK8CobW2kfdVGwUql5/+9VrEMtwzpxlK4KQtcK5ZWKpVc65/Z96nut1z9Xtkz\nTZEywLy6bqso1fUz0GrLjQu7sWQZ6OZ+R/57djXQdq/zoGeLF7mhwA1lk9Zi8MiyrBu4boFEvv6a\nB10XZcPbaMMOfBsrvsSJwK+TfDugCwHW+tz1UOHeCKeFH2M3m8fv97ckED45uQ27du329NnaDLT3\n8TDsFDsRMfu1lS9RamUGenBwCBMTWzEyMtrwd18pFW7AbFOvdz1+G68etB3oCwiSJKGjoxOdnV01\nrxPcjHdaKJeWWL/iYrGgK9226voAK4Wb6MJOC7lk+n89MAp3GaVSad0z0O4bk+FAd3V1Q5Zlk3jd\nhQK7Xtatqi1yy5AaFO6NEBGzv45czl2Bm2Ct+220fzUTzyvr4iet2vC91EC3enytdHjqQ92MAjd/\nPKB2XGjc64mIAWangl5rhRieIAj6b+02T/r6mPBbPB43vU7ZG5prbbRhB77UQ9MqNXOWgpk+n79p\ntsd6obYGujVBUT7YvxH7BG+DbIRi/sjIKLZv3+Hps/T7G50F1trGqn4Am9a9VmagJUnCvn37m3LK\n7RxonqW4nmhTuNtYD7Rn0gWGa665ruY1/uF3U28cHR3FkSOHcfr0NEZGRpHPt7b1iiGU4p0u3GgG\nmlS4gfVV4AbsN6ZSqQRBEExGzujoGEZGRi84+jZgT6tvVWTXLUO6Hj2Kna/DnEEm1OsBXfv9UlO1\n26S22uqIOY1voeDkQJchSa3NVlnr2o22bc050Hwgwjqm3hxodl6e1mp97lvRjq1UKro60ENDw/jt\n335bzetELW9noNtwg7GXMAq3NXhJf4dCF1YPaMCOwt3agDuwUXWuxvnW23ZoFBRMIK2SZkTE+D3e\ny/4ryzKKxcIFUzJAtquhwu2tBVgr4NQWto021oJ2BvrXAF4z0LFYHB0dnZibO49sNlvtXdoa+jbQ\nLIVbNP2/Hvj72ygKN78xsbY7tRmCC9F5BsyGG4E2qLVGdt0ypBupaGmnHA2AU2+ul4Gm+yhzLawa\nyUBLJhGxVkXMjQx/7fhqmmarbL1WWNtYrbX3q1sGmpx1NyOPKNJ8lsT63K89EFQ/A+2GYDCoq/u2\n0YYdeHaWqtploMmBvrB6QAOGY2NQuFtfA70xFG7jHBdaz3brGrZWFW4v+6/Pp0CSpJaV8K0V1vtg\nLcA23oFuZ6DbaBXaM+nXAF5VuAFg06ZNePrpp3D8+FFomtZSB9qewu0tA+11w+A/1yyttBFQzTWh\nVCo3nY17JWBP72p1BvqVVeEmRoDV0TRU5r1RuMvlkh78aaTmV5ZlFAqFlmegRVHUeyVb0SoldSsk\nSYIoihydnZ27eRExZ8Nk06bNkGUZ3d3djt/v7x/Anj37MD6+SX/Nmj1aa8CCjOlm18JgMIRUKlWl\nul9Y9Ns2LgzwraoqlYqNIj37+0JrYQUY2VEjA9269Y2wkUrLsixfcE6SdQ1rdE3j26AB3gKfe/fu\nR6lUvGCC/7wDnc/nsbq6ir6+/g05d5vC3cZ6oJ2B/jWA1z7QADAyMgZRFHHq1EkAqKtQ3AicBKvc\nNtxmaqAJ652BBtg9WWugmxVUeiVA40pOM8DXjraqBvqVpXAD1IrK3O+a+gTXp3Ab7deaybgShXs9\nVEMVxecaoFiP8eXbepEq7HrUQIfDYWzfvsPVgBNFEZOT20xBK/7frRjrycnt2L17b9OZGKJAtmnc\nbbhBkmS9jZV1n6b15kKh0/IwFKLXxkapPe7GOtB0jguNvg2s3YGWJElnlgGUvRVdj9PT04PBwaHG\nLnQdwatwLyzMAwB6e/s25Nx8QGujaONt/Oaj7UD/GoB3hNxUuAFmfA4ODuub4XpQuPkMdKXy/7d3\n5+FRVecfwL+Tyb5BQhIEQcTARJZsIEsaBAm4FKQNVK0iUKUs4Sm27NEfi4AsChXBgIIiFh8xKBSC\nIEql1tKaKqSCILgRAYMsCRDInkwy5/fH9N6Zm42ZzL2z5ft5Hp+WmXvnnnMzc9977jnnPXXN3uS3\nJAu3xBmB0HrOtZRQyZ7hva7W3PAuRwNFcz2klizczglGfn6+DeZiS0O4b55EzJI4S2qE25tETAgh\nN3TVTHoSEBAg96RbszSg1b9E+/v7Wc2BdqwHWtmAVm/op3StUWOIX0xMDAyGuBbvLyU4YyIxao5e\nr0ddnanRJGKWOdDutQY00HAOtFrDaq0/x5lLFbnb8G3A9ml4TbG+TwGklSQ85z4FUN6rSA3omBhn\nNaBvno+DyF5sQHsAe3qgAfMwbomavbhNDRduLjjae+GyfkDgjAa0uQfanNjD0YRKrtDYHGhLT6nj\nP++mekidOQfafBxLr6lESiJmvQRSY6yTkEmfYW8PNGBZD1vNm8GgoCDU1dU1eDig5TJhyh7ohlnn\n7f0sido984C6DytaSuo1LC8vd3FJyJ35+urlZazqN0KlUTDu2AOtVRZu6XOlpQC1Jl2n3bEBbX1f\n05JrmvV9CmC+7/K0xqClAS1QWFgIPz9/tG0b4ZRjWw/vJ1ILv00ewN6nlzEx7REYGISqqkqV50A3\n7IGuq6trdsizwXAnoqNjbL5Bd/YQbuu5RWqEmH8xAAAgAElEQVTfQDiDllm4AXNvZWMJlKShv84a\nwu3n5wchBGpra+W/T3V1Ffz8/G5aT2UPtP0NU6mXXVpfXc3EJ1LveVVVpeLBjZYPKPz8/OS5mo42\noK1/+2qWNSDAH5WVFW4x3I490GQLvV6P6upqCCEaxOlu3bojPDwcbdq0dVHpmlY/mabaWbidN83H\nfXugrb8PNxtF2NT+9bNwqzk9zxmkc1BWVoKKinJ07Hir0+ZnsweatOD6x/t0U/Y2oHU6HW6/vSsA\nICwsTPVyWF/ITabmn4S2a9cO3bp1t+MYzu6B9rHKCulYY8IVGlsHWqpPSwJ1fX5+/jAajfLyG5Zj\nOL8HGlBm4q6srLJpXqtlDrSxRfP8pG3VXuYFsMzfluZzSyyJ4LRpQAPmc2lpQLd0DrS685Ul0m9f\niyHs9pJGOHAONDVHr/eVf0/143RYWDhiY22Pg85UP06oNwfavulbjpLKrWangVrsSQTb1P7KkX9G\npz2YUItU7xs3bgBw3vBtwPLdcIcHsuQ9POsX2IqZ51c1TE7SlB49eqJz584ICwtXrQzSE976y1ip\n2SOn7IHWvgFtzsJtbqw4mlDJFRpP7KZeBmepV7Smpkbx93BmFm5zOayXXwqCyWRCTU01wsNv/v22\nXgZLOk/2PCSRblSkHmg1g7B1D7Q1LRKWSZQNaGkOtPrLWDnC0oB2/Q2PNOyWS1lRc6y/q+7wvbVV\nU/O1HSU1zJ2VJ0Mqt7v3QLekAW19n2Iymf6X6d2zbt/r19tZCcQAy+/R084ZuTfXP94nm0g38bZe\nfHU6naqNZ3MZlMtYmUwmCCFUvVmwnjfljJsQHx+9/GRXakx4zxxo9RrQ9ROJGY1G+Pj4OHEIlrIH\nWmrM3Gz+s3Lflq4DrVyHWs15uVLjTJrPLbE8oNCyAV3jcA+0r6+v/B1Q8+ZEemDirHVCm+Pj44OA\ngEAO4aZmWX//1Rj94yxNZQx3lOt6oN2vAa18uNKSBrTlPkWKFe7Y094c63uFwMAg1e9Pm8Mh3KQF\nz7nKt3JSIg5XruknNeKlXjwt5mlKwdxZS1FI60BLGbgBz7rIWnqg1c/CDVgaW/WTXN0s+7raLI0+\nc8NSakDbktXWkkTMaJVEzPZzYxnCLfVAq1fvpnqgpQa0Fg1I5QMFadRFy6ctSJ+n5nmRfv/ukEQM\nMD/oqKysaDCVgUiizDrtHt9bW9Qvq1oNXulznRUnIiIi4efnh4gI5ySmsoejScSs71Mssc/9EtI1\nx/r+NTo62qnH5hBu0oLnXOVbOV9fvctvJqWLUP0GtJo3+VKgcUYCMfNxzA2Yc+fOOpxQyRUamwOt\nbhIxc0PGeu4x4PwsoNIQY6knvKLCnBHZlpsIvd782zFn4ba/wVh/nVQ1f4dNzYHWMomYNKrAPCfc\nsWWsAG1uTqTfv7vc8AQFBcNkMsnD+Inqs34o5+pYbY/6ZVXrNyd9rrPiRPv27TFqVLpTezZt5egy\nVtZLQNkT+9yNVI+YmPZOPS6zcJMWPOcq38oFBAS6fG5u/SHcWqxV6+we6F69esHPzx/Hjn2JwsLL\nADxrDnRT60CrdQPXVA+0ORu28xo3TQ3htnVdVWnpppZkD6/fuFR3rq8/fHx8GiSo0rIBbZ0UzWis\nga+vr0PfF2m4tZrfB3eaAw0AwcFMJEbN84Y50Gpeb5ydhdudOZqF23oJUSn2hYS435riNyOdB2fO\nfwY4B5q0wQa0h7jrrv64++7BLi2D1JMnNaa0SHTk7AZ0aGgY+vcfCCEELl26CKDlCZVcQWq01J8D\nrdbfpKk50HV1tS4Zwi09tJEaMiEhtj2F9/Pzg9FY26JM6/XPpZrfd51Oh4CAwCbnQGsxhNv6XBqN\ntXbNB2+MtL+6c6DNv393mUsqPahhIjFqiqO9jK6iHF6s7lruOp3O45Zb0oKj3w3pb1RXV+fRPdCB\ngYFo06aN08suTZWyJWcKka08p6XQyrnLxTIkJATl5eYLuJZzoJ01hBswD/2Kj0/E8ePHAHjaEO6G\n60CbTCbVboSk3vjqaksDWgiBujpnD+GWGvIt7YHWo6KiuoXrQCu/D2rfHAcFBaG4+BqEEPIcMW17\noJXLWDl6g2t+OKHuzbfUq+0uc0ktS1kxkRg1zvqBojskv7OVVj3QAQEBSEsbbvM12ps5moVbug5a\n90B74nlNTR3skjw+ISEhSEsbjq5dO6K4mNdwUod73J2QxwgNDYPRWIPq6mo5cZUWy1g5qwda0q1b\nd8TGdkNISCiCgtzjYYUtGp8DbVKxB9qSsVni7CWsAOVazoC5AR0YGGTzzYivrx+MRnMSMXsfkGg9\nNDMwMAhCCMX8WmmpOC2GyVsvCWYewu3YA6N27aIQFhZm05rctgoNDUNgYBAiIyNV+0xHWJayMj88\nrKqqwscff4Rz5865sljkRjy1B9q6rGo/sGrTpq1HPZDWinUCLcfmQJt7oAMCAj1qmoAkODjYZb3A\nbdtGcAg3qYrfJrJLaGgYAKCsrEzVZFUSHx9zkHFmD7QkMTEZiYlOP6xDmsrCLTWSHCX1/FrPgbbM\nfXfe5cO619ScibQcERG2N66km7iqqmq7y209pF+LnqWgIEsmbqkRajnH2g3hrqysghDC4WXb4uLu\nRHR0PxQVlapRPADmMo4Y8aBqn+co6aFaRYW59+Ls2TMoLS2V/05E3pBEjPOVtePj44O6upZNr6o/\nBzo8vI3axSMiO3nOVZ7cQmhoKACgtLTEqpdMvaAbEhIGnU6H8PC2qn2mN2tqHWi1buAsc6AtWbi1\n7B1tivUyVpWVlRBC2DWETWqAV1dX2T3H3fqmUqseaEC5FrT0QESLG1rpXEi9qY72QLcGAQEBcrI3\nIQTOnj0DvV6P2267zdVFIzehXMbKc3oHPTX5maeRvh8tyesgxfOKigqYTCaPHL5N5G3YgCa7NNYD\nrebT9vbt2+NXvxqNqKgo1T7Tm1l6oJXLWKk3B7phFm4t5+ferBxGY02L1sG0bjTb2yi1rqc2DWhz\nr7P1/FrpIYWWPdDSeVRrtII30+l0CAoKRmVlJQoLC1FRUY5OnTpzeCrJrK8T0kgqT2A9J5VDXLUj\n3Se15LshxfOysjIAtifPJCLtsAFNdgkLkxrQpZoM4dbi87xZ/SRiQgiYTOrNgdbpdPDz81fMgW7J\nUlCO8vHxgV6vh9FotMpCavtcKuteVnsbPcoGtPqXzMZ6oEtLS+Dn56dJA03Kpl9VZW6wswfaNkFB\nQaiqqsSZM/kAgNtvv8PFJSJ3opwD7TkxzHp+LmOvdqRz68gc6NLSEgDuk1SWqDVjA5rsEhgYCD8/\nv/81oLXrJSPb6HQ6+Pj4yOtAS/+r9lrFNTXWQ7id3wNtPp55LWfLOpihNu9r3RC1t9xaJweyngMN\nmIfLl5WVoW3bCM0yllqvdc5eVNtIN60XLvyM8PBwtGvXzsUlIneizMLtWbdWUnkZy7Uj9Tw70oCW\neqA5hJvI9TzrKk9uISQkFGVlZaitdU1DipT0er38MEOLUQHmZYqsh3A7Pws3YB5qbDTWyj3Q9mTz\ntB7C3ZJyS41MLXqW6vdAFxcXA4BdSdLsZX0+2IC2jXV2fvY+U32ePJdYuq55Wrk9iSM90NK+paXm\nRI3sgSZyPTagyW5hYWEwmUwoKzNfzD1puJo38vHRyz3Plnnp6vZA19XVyZ+tZYbo5uj1vooeaHue\nwlv3DrWkAS3tr0Wd/f39odfrUVlprtf161IDOkL1Y0msh207moW7tZAe2Pj4+OC227q4uDTkbjw1\nCzdgKS8fhmtHSh7Wsh5oc++1NEqJPdBErudZV3lyC1IisRs3rgPgU2tXM/dAKxvQas7Vrb+UlSvW\ngQYsDfmysjL4+wfYdXzlEG77e1ylm2OtvutBQUGorFT2QLdtq10D2vp8sAfaNtKUgY4dO/GhAzXg\n2T3QUuPOs8rtSSw90PafY+t9/Pz8ec0mcgNsQJPdpKWsSkrMCS2cuZwRNaTX+8gNZ2k5KzV7QKQs\nzdIwbq2Sx92M9fJL9g5hcySJmHl/c2NdqxvMwMAgVFeb12W+fr0Y/v4BCAnRrpfBeg40k4jZJiYm\nBr16xSM+PsHVRSE3ZD3KpSVLFbkSe6C1Z3lI0fI50AAzcBO5C14tyW5SJm4tElaR/fR6PUwmc++l\nNknEAgBATiRm6YF2bsPLet6uvUPYHJ0DLd0cazU0U5oHXVJyA+XlZWjf/hZNjiOxPh9cxso2Op0O\ncXF3uroY5Ka0TjaoJWmIMGO5dhxpQFv/XTh8m8g9eNZVntyCNIRbwmFfruXjo5d7haWh3GrPgQYs\nPdCumgNt3XNs71N4R7JwW++jxTJWgCUT98WLFwFom0AMcHxIOxEpKYdwe9atFbNwa0+NZawA+5Jn\nEpF2POsqT27B19dX7jEDGHRdzdwDbYIQQpPh1VLjUZoDbcnC7Zoh3ID9WUit93W3JGKApQf6woWf\nAWibQAxgEjEitXlyD7Q05JyxXDuWJGL2L01o/XexZ/lGItKOZ13lyW1Iw7gBzptyNelmzWQyyXOg\n1bwRCggwD+E2GpVDuK3n/DmDdUPPekkhW1h/R1s2B1rbJGKBgeYeaCkDt5YJxADLufTx8eFNM5EK\ndDqd/FvytN+UVF7Gcu1IoxJaMj/eeh/2QBO5BzagqUWkRGKA5z1t9zbSzY/1UlPaZuF2zfrf1sez\nN8GW9b4tafg7I4mY9f/X+iZJqg+HbxOpR7o+eGoSMU9r+HsS9ZKIcQ40kTtwy6v8tm3bkJaWhvj4\neIwZMwZ5eXnNbn/48GGMGTMG8fHxGDZsGLKzsxXvv//++xgyZAj69++PlStXKt67fPky0tLScOXK\nFdXr4c2kedB6vR46nf1Dkkg90k1bXV2dnERMzRs4KclUTU31/47jmmWsrHuO7e2B1ul08v7WCbRs\npfUQbmkONKD98G3Aci6ZQIxIPZZcCZ7VELU0oNkDrRVH5kBbPxC3N/YRkTbcrgG9f/9+rFixAhkZ\nGcjJyUFycjImT56MCxcuNLp9QUEBpkyZguTkZOTk5GDq1KlYtmwZDhw4AAC4du0aFixYgMzMTGze\nvBnvv/8+/vGPf8j7L1myBNOmTUNUVJRT6uctpCHcTCDmelJwraur0yTBl6UHuv4QbtfMgfbz82vR\nvF1pf0d6oLWeAw1oP3wbsPxN2QNNpB7pWuxpo7IsDWjPKrcnUaMH2tfXV55SRUSu5XZXyzfffBOj\nR4/GI488gtjYWCxcuBDR0dENepUl27dvR0xMDBYuXIjY2Fg88sgjSE9Px5YtWwAA58+fR1hYGEaM\nGIGEhAQMGDAA+fn5AIADBw6gtLQUDz30kNPq5y2kIdye9qTdG0l/A5OpDkJosYyVMgt3XV0tfH19\nnT7yQOottTeBmETqeXZsHWht6uzr6yuXKzJS2wzcgOVcMIEYkXo8tQdaGrHEOdDakTobHFnGqqWx\nj4jU51YN6JqaGpw8eRKpqamK11NTU3H06NFG9zl27FiD7QcNGoSvv/4aRqMRXbp0QWVlJU6dOoXr\n16/jxIkTiIuLQ2lpKVatWoWlS5dyCHILBAeHQKfTOT0TMzUkBddDh/6Jkye/VrymBl9fX/j4+KCo\nqBAffLAXN27ccMlQP+nmrqXrYFr3YNvLMvxOu++7lEjMOT3Q5nPAHmgi9TjSSHIlS+8o47lWHJln\nLj3g4BrQRO7DrR43FhcXo66ursFw6nbt2iE3N7fRfa5cuYKUlBTFa1FRUaitrUVxcTFiYmLwwgsv\nIDMzE1VVVUhPT8fdd9+NRYsW4eGHH0ZxcTFmz56NyspKTJgwAY899lizZYyICFa10RgdHXbzjdzU\ngAF94O/vb3cdPLnOjtCq3r16dUdVVYk8/9nf3x/du9+maiKq5OTeuHTpkvzvTp062VQfNescFRWK\n3r3j0KVLlxZ9bmJiD1y7dg3t27exe9+AgDtQVnYVd97ZFeHh2tT7rrsSUVJSgk6dtJ9OEhUVivj4\nO3Hbbbep9jfi75pcyR1is3SNiYkJV60czhAfb8DZs/64/fZbWmWHgjN+wzpdLGpry9GtW2f5Yamt\npOt1586deb12UGusd2usM6B9vd2qAS1p7ALe3EW9/ntCCMXr9957L+699175/by8PBw7dgyZmZl4\n4IEH8MILL6Bbt2741a9+hT59+iAuLq7JYxUXV9hVl+ZER4ehqKhUtc9zto4d7wAAu+rg6XVuKS3r\n7eMTjH797la8VlZWi7Iy9Y7XpUscunRR/i5uVh8t6mwwJNh07MZERHRARESHFpZJh4SE/qiu1q7e\njpXPft27xwNo2bmsj79rxz+HHOMOsdnZv2G1BAVFYPDg2zyu3Gpw3rUrAPHx/VBaakRpqdHuvXm9\ndlxrrHdrrDPgnNjsVuOMIiIioNfrUVRUpHj96tWrTSb5ioqKapBB++rVq/D19UXbtm0bbF9TU4PF\nixdj6dKlKCgogNFoxC9+8QvExMSgf//+OHz4sHoVIiIiIiIiIq/hVg1of39/9OrVq8Fw7dzcXCQn\nJze6T1JSUqPb9+7du9G5jhs3bsTAgQORlJQEIYS8bi4AGI1Gxb+JiIiIiIiIJG7VgAaAJ598Ert3\n78aOHTuQn5+PZcuWobCwEI8++igAYN68eZg3b568/aOPPorLly9j+fLlyM/Px44dO7B7925MnDix\nwWefPn0ae/fuxYwZMwAAXbt2hV6vR3Z2NvLy8vD555+jb9++zqkoEREREREReRS3mwM9YsQIFBcX\n49VXX0VhYSEMBgNee+013HrrrQCAixcvKrbv3LkzXnvtNaxcuRLZ2dmIiYnB/Pnzcf/99yu2E0Jg\n4cKFeOaZZ+QlmAIDA+VM3KWlpcjIyEB8fLxzKkpEREREREQeRSekjFtkEzUn47fGyf2tsc5A66x3\na6wz0Drr3RrrDDCJmDthbHZMa6wz0Drr3RrrDLTOerfGOgOtMIkYERERERERkbtiA5qIiIiIiIjI\nBmxAExEREREREdmADWgiIiIiIiIiG7ABTURERERERGQDNqCJiIiIiIiIbMAGNBEREREREZEN2IAm\nIiIiIiIisoFOCCFcXQgiIiIiIiIid8ceaCIiIiIiIiIbsAFNREREREREZAM2oImIiIiIiIhswAY0\nERERERERkQ3YgCYiIiIiIiKyARvQRERERERERDZgA5qIiIiIiIjIBmxAq+jIkSPIyMjA3Xffjbi4\nOOzatUt+z2g0YvXq1Rg1ahSSkpIwaNAgzJ49GxcuXFB8Rk1NDZ577jkMGDAASUlJyMjIwKVLl5xd\nFbs0V28AEEIgKysLgwYNQkJCAsaPH48ffvhBsc2NGzcwd+5c9O3bF3379sXcuXNRUlLizGo4pK6u\nDmvXrkVaWhri4+ORlpaGl156CbW1tfI2tpwHT1NYWIjMzEwMHDgQ8fHxGDFiBA4fPiy/7411rm/j\nxo2Ii4vD0qVL5de8rd6bNm3Cb37zG/Tp0wcDBw5ERkYGvv/+e8U23lbn5mzbtk3+rY8ZMwZ5eXmu\nLhI1g7GZsZmxmbEZ8L56MzYrOTM2swGtooqKChgMBsyfPx+BgYGK96qqqnDq1ClMmzYNu3btwiuv\nvIKLFy9i0qRJigv58uXLceDAAaxZswbbtm1DeXk5pk6dirq6OmdXx2bN1RsAXn/9dWzZsgULFy7E\nzp07ERkZiSeffBJlZWXyNrNnz8apU6fw+uuvY/PmzTh16hTmzZvnzGo45PXXX8c777yDBQsW4MMP\nP8T8+fPxzjvvYNOmTYptbnYePElJSQkee+wxCCHw2muvYf/+/Vi4cCHatWsnb+Ntda7v2LFjeO+9\n9xAXF6d43dvqffjwYYwdOxbbt2/H1q1bodfr8eSTT+L69evyNt5W56bs378fK1asQEZGBnJycpCc\nnIzJkyc3aHCR+2BsZmxmbGZsBryv3ozNFk6PzYI0kZSUJP761782u80PP/wgDAaD+Pbbb4UQQpSU\nlIhevXqJPXv2yNtcuHBBxMXFiUOHDmlaXrXUr7fJZBKpqanilVdekV+rrKwUSUlJIjs7WwghxOnT\np4XBYBB5eXnyNkeOHBEGg0Hk5+c7r/AOmDJlipg3b57itXnz5okpU6YIIWw7D57mxRdfFL/97W+b\nfN8b62ytpKREDBs2TOTm5opx48aJJUuWCCG8v95CCFFWVibuvPNO8fe//10I0TrqLHnooYfE/Pnz\nFa/de++94s9//rOLSkT2YGw2Y2xmbPamOltjbGZslmgZm9kD7ULS0582bdoAAL7++msYjUYMGjRI\n3qZDhw6IjY3F0aNHXVJGR50/fx5FRUVITU2VXwsMDES/fv3kOh09ehTBwcHo06ePvE3fvn0RHBzs\nMfXu27cvvvjiC+Tn5wMATp8+jc8//xyDBw8GYNt58DQHDx5EYmIiZsyYgZSUFPz617/G22+/DSEE\nAO+ss7WFCxfi/vvvR0pKiuJ1b683AJSXl8NkMiE8PBxA66gzYB7Ge/LkSUU9ASA1NdWr6tnaMTYz\nNnvytYuxmbGZsdlMy9jsq8mn0k3V1NTg+eefx9ChQ3HLLbcAAK5cuQK9Xo+IiAjFtu3atcOVK1dc\nUUyHFRUVAQCioqIUr7dr1w6FhYUAzPWOjIyETqeT39fpdIiMjPSYek+ePBnl5eUYOXIk9Ho9amtr\nkZGRgccffxyAbefB0xQUFOCdd97BE088gSlTpuCbb77BsmXLAADjxo3zyjpL3nvvPfz0009YtWpV\ng/e8ud6S5cuXo0ePHkhOTgbQOuoMAMXFxairq2u0nrm5uS4qFamJsZmxGfDsaxdjM2MzY7OZlrGZ\nDWgXqK2txdy5c1FaWopXX331pttLTw09mXUAtvV9IcRN93MX+/fvR05ODl588UV069YN33zzDVas\nWIFOnTrh4YcflrfzlPrYQgiB3r17Y/bs2QCAnj174ty5c9i2bRvGjRsnb+dNdQaAH3/8UZ4H6e/v\n3+R23lZvycqVK/Hf//4X2dnZ0Ov1ive8tc71NVbP1lJ3b8bYbNv7jM3ujbGZsZmxufnX1MAh3E5W\nW1uLWbNm4bvvvsNf/vIXxRPtqKgo1NXVobi4WLHPtWvXGjxV8RTR0dEALE/BJFevXpXrFBUVhatX\nrypuRoQQKC4uViS9cGerVq3CxIkTMXLkSMTFxSE9PR1PPPEEXnvtNQC2nQdPEx0djdjYWMVrd9xx\nBy5evCi/D3hXnQFzcpLi4mKMGjUKPXv2RM+ePXH48GG888476NmzJ9q2bQvA++oNACtWrMAHH3yA\nrVu3onPnzvLr3vq3ri8iIgJ6vd7r69kaMTabMTabefJvmrGZsVnirX/r+lwRm9mAdiKj0YiZM2fi\nu+++w1tvvSV/sSW9e/eGn58fPvvsM/m1S5cuIT8/Xx6O4Wk6deqE6OhoxRCK6upq5OXlyXVKTk5G\nRUWFYp7C0aNHUVFR4TH1rqqqavDET6/Xw2QyAbDtPHiaPn364MyZM4rXzp49i44dOwLwzjoDwPDh\nw7F3717k5OTI//Xu3RsjR45ETk4Ounbt6pX1XrZsGfbt24etW7c2uDnz1r91ff7+/ujVq1eDIWG5\nubleVc/WhrHZjLHZzNOvXYzNjM0Sb/1b1+eK2KxfvHjxYk0+uRUqLy9Hfn4+rly5gh07dsBgMCAs\nLAxGoxFBQUH405/+hOPHjyMrKwuhoaGoqKhARUUF9Ho9fH19ERAQgMuXL+Ptt9/GnXfeidLSUixa\ntAhhYWGYM2cOfHzc83lHc/UODw9HbW0tNm3ahK5du6Kurg7PP/88ioqKsHTpUvj7+yMyMhJfffUV\n9u3bh549e+LixYt49tln5fXqPEF+fr58gfb19cUXX3yBNWvWYOTIkRg0aBB0Ot1Nz4On6dChAzZs\n2AAfHx/ExMTgP//5D9auXYupU6ciISHBK+sMAAEBAWjXrp3iv3379qFjx44YM2aMV9Z7yZIlyMnJ\nwbp169ChQwf52gWYA5c31rkpoaGhyMrKQnR0NAIDA/HKK68gLy8PK1askBO3kHthbGZsZmxmbPbG\nejM2Wzg7NuuEN0zicRNffPEFJkyY0OD10aNHY/r06Rg2bFij+61cuRJjxowBYH4ytGrVKuzbtw9V\nVVVISUnBs88+iw4dOmhadkc0V+/nn38eQgisX78e7777Lm7cuIHExEQsWrQIBoNB3vb69etYtmwZ\nPvnkEwBAWloaFi1a5DE3pGVlZVi3bh0OHjyIq1evIjo6GiNHjsQf/vAHBAQEAIBN58HTfPrpp1iz\nZg3OnDmDjh074vHHH8f48ePlOSfeWOfGjB8/Ht27d8eiRYsAeF+966+lKZk+fTqeeuopAN5X5+Zs\n27YNb7zxBgoLC2EwGPDMM8+gX79+ri4WNYGxWYmxmbHZG+vcGMZm76tzc5wZm9mAJiIiIiIiIrKB\ne447IiIiIiIiInIzbEATERERERER2YANaCIiIiIiIiIbsAFNREREREREZAM2oImIiIiIiIhswAY0\nERERERERkQ3YgCZyMydOnEBcXBzOnz/v6qKoZvz48Vi6dKld+6SlpeGNN97QqEQWTz/9NKZOnar5\ncYiIyHMxNpsxNhNxHWjyUteuXcPLL7+MQ4cOobCwEOHh4ejevTumTJmC1NRUVxevWSdOnMBDDz2E\nv//97+jUqZOri6OK69evw9fXF6GhoTbvc+3aNQQFBSEoKEjDkgGlpaUQQiA8PFzT4xARtXaMze6F\nsZmoZXxdXQAiLTz11FOorKzE8uXLcdttt+Hq1as4cuQIrl+/7uqiOV1tbS30ej10Op3LytC2bVu7\n94mMjNSgJA2FhYU55ThERK0dY7MFY3PzGJvJnXEIN3mdkpIS5OXlYc6cOUhJScGtt96KhIQE/P73\nv8fIkSPl7WpqarB69WoMHjwYSUlJ+M1vfoN//etfis/Kz89HRkYG+vbti+TkZPz2t7/Fd999BwAw\nmUzYsGEDhgwZgt69e2PUqFE4ePCgvJxmFyoAAAuLSURBVO/58+cRFxeHAwcO4Mknn0RiYiJGjBiB\nzz77THGMQ4cO4YEHHkB8fDzGjh2Ls2fPKt4vLS3F3LlzkZKSgvj4eAwbNgx/+ctfmqx/VlYWHnzw\nQezatQvDhw9HfHw8KioqIITA66+/juHDhyMhIQGjRo3Cnj17GpT3gw8+wLhx45CQkID09HR8++23\n+P777/Hoo48iKSkJjz32GAoKCuT9fvrpJ0ybNg2pqalISkrC6NGj8Y9//ENRpvrDxNLS0vDKK69g\n0aJF6NOnDwYPHozNmzcr9qk/TCwuLg7vvvsu/vjHPyIpKQnDhg1TlB8AvvrqK4wePRrx8fFIT0/H\nP//5T8TFxeGLL75o8nzVHyY2fvx4LF68GGvWrMGAAQOQkpKCF154ASaTqcnPAICdO3finnvuQWJi\nIjIyMrBt2zbExcXZdZ7S0tKwfv16PP3000hOTsaQIUOwf/9+lJSUYObMmUhOTsZ9992Hf//734r9\nTp8+jSlTpiA5ORkpKSmYNWsWioqKmi0vEZEzMTYzNjM2MzZ7CzagyesEBwcjODgYn3zyCaqrq5vc\n7plnnsGRI0fw4osvYu/evRg9ejSmTZuGb7/9FgBw+fJljB07FjqdDm+++SZ27dqFsWPHyhfrt956\nC2+88QbmzJmDvXv3Yvjw4XjqqafwzTffKI7z0ksvYfz48dizZw/i4+Mxa9YslJeXAwAuXryIP/zh\nD0hNTUVOTg7GjRuH1atXK/Zfu3Ytvv/+e2zatAkffvghVqxYgfbt2zd7Ds6fP499+/Zh3bp12LNn\nDwICArB27Vrs3LkTixYtwgcffIApU6bg2WefxaeffqrY9+WXX8bkyZOxe/duhIWFYc6cOXjuuecw\nY8YM7NixA9XV1Vi+fLm8fUVFBQYPHowtW7Zgz549uO+++/DUU08hPz+/2TJu3boVBoMBu3fvxuTJ\nk7F69WocPXq02X02bNggB+cRI0Zg/vz5+PnnnwEA5eXlmDp1Ku644w7s2rULc+fOxapVq5r9vKbs\n3bsXer0e27dvx8KFC7F161bs37+/ye2PHj2KBQsWYOzYscjJyUFaWhqysrIU29h6nt566y3Ex8dj\n9+7d+OUvf4nMzEzMnj0bQ4YMQU5ODu666y7MnTtX/m4XFhbi8ccfR/fu3bFz5068+eabqKiowLRp\n0256Y0FE5CyMzYzNjM2MzV5DEHmhjz76SPTr10/07t1bPPLII+L5558Xx44dk98/d+6ciIuLEz//\n/LNiv2nTpolnn31WCCHEmjVrxD333COqq6sbPcagQYNEVlaW4rVx48aJ2bNnCyGEKCgoEAaDQWRn\nZ8vvX7p0SRgMBnHkyBEhhBAvvviiuO+++4TJZJK32bBhgzAYDKKgoEAIIcTUqVPF008/bXPdX375\nZdGzZ09RVFQkv1ZeXi7i4+Pl40qWLVsmJk2a1GR5P/nkE2EwGMSBAwfk1/7617+KpKSkZsvw8MMP\niw0bNsj/HjdunFiyZIn876FDh4qZM2cq9rn33nsV+wwdOlRs3rxZ/rfBYBB//vOf5X8bjUaRkJAg\ncnJyhBBCZGdni379+onKykp5m/fff18YDAbx+eefN1nWzMxMMWXKFEVZH3nkEcU2TzzxhPi///u/\nJj9j5syZYuLEiYrXFixYIAwGQ5P7CNHwPNU/L2VlZcJgMIjnnntOfk36Ox0/flwIIcTatWvFhAkT\nFJ97/fp1YTAYxFdffdXs8YmInImxmbFZCMZmxmbPxznQ5JXuv/9+3HPPPcjLy8PRo0fx73//G1u2\nbMHMmTORkZGBkydPQgihGDYGmIeODRw4EABw6tQp9OnTB/7+/g0+v6ysDIWFhejbt6/i9T59+uDQ\noUOK16yHCsXExAAwJ+EAzMPQEhMTFXOgkpOTFfs/9thj+NOf/oSTJ08iNTUVQ4cORf/+/Zutf/v2\n7REVFSX/+/Tp06iursakSZMUxzIajbj11lubLG+7du0AAAaDQfFaRUUFKisrERQUhIqKCqxfvx6f\nfvopioqKUFtbi+rqasXnNKb++zExMfJ5sWUfX19fREZGyvv8+OOP6N69OwIDA+VtEhMTm/08e8p2\n9erVJrf/8ccfMXToUMVrCQkJeO+99+R/23qerP8dEhKCoKAgxfmX/q5SvU+ePIm8vLwG3xvAPDQt\nISHhZtUlInIKxmbGZoCxmbHZ87EBTV4rICAAqampSE1NxfTp0zF//nysX78eEydOhBACOp0OO3fu\nhK+v8mcgXeRFCxPU108IYv350nvS8B1bjjFkyBB88sknOHToED7//HNMnToVDzzwAFauXNnkPsHB\nwYp/S8d59dVX0bFjxybL11R5m6vDCy+8gH/961/IzMxEly5dEBQUhMzMTBiNxmbrVf+4Op3upsOa\nmttH+puqobHjNPe3suXYtp6nxo7d3Pk3mUwYMmQIMjMzGxxTuskiInIXjM0WjM32YWwmd8EGNLUa\n3bp1Q21tLWpqatCjRw8IIVBUVCQ/1a6vV69eeP/991FTU9PgSXdoaChiYmLw3//+FykpKfLrX375\nJWJjY+0q04EDBxQX+WPHjjXYLjIyEunp6UhPT8fgwYMxa9YsLFmypNEn8I2JjY2Fv78/Lly4oCiv\nGr788kukp6fj/vvvBwBUV1fjp59+wu23367qcW4mNjYWe/bsQVVVlXyjdfz4cacdu/6xTpw4ofi3\nVuepV69e+PDDD9GxY0f4+fk59FlERM7G2MzYrOWxGZtJC0wiRl6nuLgYEyZMwJ49e/Dtt9+ioKAA\nH374ITZv3oyUlBSEhoaia9euGDVqFJ555hl89NFHKCgowIkTJ/DGG2/gb3/7GwBg7NixqKiowIwZ\nM3D8+HGcO3cO+/btkxOR/P73v8eWLVuwb98+nDlzBuvWrUNeXh4mTpxoc1kfffRR/Pzzz1i+fDl+\n/PFHfPTRR9i+fbtim3Xr1uHgwYM4e/Ys8vPz8be//Q2dO3e2OUAD5puKiRMnYtWqVdi5cyfOnTuH\nb775BtnZ2Xj33Xdt/pzG3H777fj4449x8uRJfPfdd4okGs40atQo+Pj4YMGCBTh9+jRyc3OxadMm\nAA17HtQ2fvx4fPbZZ9i8eTPOnj2LHTt24OOPP1Zso9V5Gjt2LEpLSzFz5kx89dVXKCgoQG5uLhYu\nXIiysjKHP5+ISA2MzQ0xNjM2k2diDzR5nZCQECQlJeGtt97CTz/9hJqaGrRv3x4PPvggpk2bJm+3\ncuVKbNy4EatXr8bly5fRpk0bxMfHY8CAAQDMc5XefvttrFq1Cr/73e8AmOfASEs+TJgwAeXl5Vi9\nejWuXr2Krl27IisrCz169LC5rB07dsT69euxcuVKvPvuu+jVqxdmz56NuXPnytv4+/vjpZdewvnz\n5xEQEIDExERs3LjR7vMyY8YMREVFYcuWLVi8eDFCQ0PRo0cPTJo0ye7Psvb0009j/vz5ePzxxxEe\nHo7f/e53LgnSISEh2LhxIxYvXoz09HR069YN06dPxx//+EcEBARoeuzk5GQ899xzyMrKwssvv4xf\n/OIXmDx5MtauXStvo9V5at++PbKzs7FmzRpMmjQJ1dXV6NChAwYNGmTXjRwRkZYYmxvH2KwdxmbS\nik60dDIJEZGbO3jwIKZPn47c3FxERkY69dgrVqzAf/7zH+zdu9epxyUiInJnjM3k6dgDTUReY/fu\n3ejcuTNuueUW/PDDD1ixYgWGDh3qlAC9efNmpKamIjg4GLm5udi+fTtmzZql+XGJiIjcGWMzeRs2\noInIa1y5cgVZWVkoLCxEdHQ0hgwZgjlz5jjl2F9//TW2bNmC0tJSdOrUCbNmzZKHFxIREbVWjM3k\nbTiEm4iIiIiIiMgGzMJNREREREREZAM2oImIiIiIiIhswAY0ERERERERkQ3YgCYiIiIiIiKyARvQ\nRERERERERDZgA5qIiIiIiIjIBv8P8Cp9SMynveEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0054faab38>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(16, 6))\n",
"\n",
"trailing_df = (df.assign(committing_trailing=lambda df: df.score_committing < df.score_disadvantaged)\n",
" .groupby(['seconds_left', 'committing_trailing'])\n",
" .foul_called\n",
" .mean()\n",
" .reset_index())\n",
"\n",
"for ax, (committing_trailing, grp_df) in zip(axes, trailing_df.groupby('committing_trailing')):\n",
" ax.plot(grp_df.seconds_left, grp_df.foul_called,\n",
" c='k', alpha=PP_OBS_ALPHA,\n",
" label=\"Observed\");\n",
" ax.plot(pp_sec, pp_nba_trace['fc'].mean(axis=0),\n",
" label=\"Posterior expected\");\n",
" \n",
" ax.set_xlabel(NBA_XLABEL);\n",
" ax.set_title(get_committing_title(committing_trailing));\n",
" \n",
"ax, _ = axes\n",
"\n",
"ax.invert_xaxis();\n",
"\n",
"ax.yaxis.set_major_formatter(pct_formatter);\n",
"ax.set_ylabel(NBA_YLABEL);\n",
"\n",
"ax.legend(loc=2);"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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TE415876AQmGFCROCodPpMH36FPTu/RpmzPgCOp0ON2/egJWVEp6e3pg4cQrW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\nw7fswrtv2I6yyvZmQZRQ0YAHnpvHZ/75CTx/ktG29frnCfPeTImIkd4Qf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OH9b96C5559\nBqurBeze0o1NA1E8d2IJbznQg2RBQq5YwSU7umwXBVL8dau3dKNwA8yAd6JD2mXl+Bpjw+lw3rBE\nUcBwt4ITcxoWk3lUGUZ48dQKNE3ASKfgecELBoNYXl7Sx3N1lWVfax1oyZHCTRu3nQHN9/jkWyZY\nYa1vAgxF9bVSuAGW4TizXMYLJ5bQd0kYL02vwO+TMD4QxblZynaK+mZTKjGaXS6XrQYa7Fse+Xw+\npFJJT9dQLpfRH5MhiYy+VVY1dHPCH7zya6NoJFOpn0+W8L+/cRtePLWM7z90Cpft7EdvRxBltYJv\n/vw4XppeQW9HECur7HeNBTQEg0E9uMT/3kSLthPKstZAA0BflM3P4d4wPnjznprsNwUbe3v7sLS0\n6IkibKwFvANtVuKm6wyFQti8eQuOHz+GkydPYGiosRaDxWIRwaD9nFAUWQ9K8WwZ/rexo3DbzXca\nLy/OqZfgmx2MGujGKNzWjDX72z4o2carC4IgoK+vH2fPnkE6nUI6nUY8FsH7Lx/HI4/8CvumxrF1\nogejfRHMzKdRqgg4M59BuSJiqMOeZtrK+ud64Ndiq4gY7YN265skihjqlDG9CMzOryDkY4H9F15e\nhKYBw9W9mg+S8b2PybH1EjSOx9nBEokEhodHUCgUdAaME+z2WUEQ9PZdVhgU7uYcKHNywCwiRg5b\nb7iEhawPL55axkSviKWcAr8iYKwvihcrFW783VuIsuu0Z8rR2mYdV575tnW4G6Ig4JEX51DRmLgn\nzbVoNI5kMonFxQU2XiHKRBOF29mBbiYJoMgSDoyrWMoF8d0HT+DAjj42hhrwnYdmcGJ2FZEAcDbJ\n9o+emLMDTfOhnh1F49wfZ7/RQFcA+zqX4V8DM66NNgienoCvfvWr7WjNOiIQCEDTNBSLTFSIsk6K\nIusLhFZRARj1NlftHcSpH6fx3PSqXmPlTN92FxAD6jvQrMeqvcKiXZ2m8R2Dwl1POGusx4cTc0Uc\nO5vG1nFWn/LMMUaLmxiwz5baIRgMQdMW9V7QTm1CGIXbyYFmhrRdnabRxsp9EbajcFt74q4Fo90K\ncKyMF06tYP/2fpxfzmL3li7IkmgyhMxtiILI5XIIBIKOz3QgEEAisWKqsXWCqpYR8cmYGIrh5Rnm\ndPfEg0C1m5NTRtMLGnG0eIQDCt5x7ST+4fsv4l/uexl/9NYp/N33nsfzJ5YhCgJOz7P5IAoaBrrY\nvLJz1inTyv9+dg4d0ZNjARW3v20PLt09BLVQ67glEgmIoqjT4rzU5xoqpbUUbpqbmQxzbEOhMGKx\nOLq6ujE3dx6ZTMZzZotRyouIxWK27yuKD6VSEpqmmTLQvGIutaui8SiXS7bznQIAjVC4G89AN6fC\nTcwLUWSCN20hsTZ49PX14ezZM5ienkapVERvby8URYYgGHP1qj2D+NefrOLkkojySaZNMhC132da\n1cLKC8wONFFgyYFm184H73lsGQhjejGJhVURkwPsOM+fYPe2uc8HNeNcwkUlEV6e4XicCX4lkyzY\nyLRb3PcQXhXbDpVKBbOzZ9HfPwBFUdZM4WbnlHUVbrvEAbXweuHUMnrDcWRLEiYGfBBFodo72j6D\nal8+J9b0TwaM34rP/LO/DQp30M9aVR6fZRtySFERDrO5Rmt9ocBEOskeCIVCEEXRMQPdbBJAFEUo\nYgVvv2YrvvLvh/H1+1/Gvv4yHj0bxWL2PERBQEXTAMgQBQ29cWd71VrDX+9zXSHg9t/Zg9FeEb/8\n2dl2WU4bLYGnJ+Dyyy9f7+t4VYOnNPr9flPWySnaefmufvzPnxzFoy8to5xnG8wuG5EtAK5CHIT6\nDrTs2LfaWsfCf6dSUT23ohnr9QNYxfFzbOHWNA3Pn1iGIlawadB7hN5Q4jYc6GAwZLtZOWegSXG4\n1oEm2qr1fq2w29jtMorNojsqISCreOl0AoenWf3zzmotOe/o0SZC9Z35fA6dnc59L/lsrJsDXalU\nUKmwXpDbxzp1B7q3M4Sk7kCvoV1XA1RfKy7f1Y8HnzuHZ48v4b9+5VEspfLYvaULH/it3SiWVJyZ\nS+KxRx5EV5zVyBn3bJyLMq7W/q4A9NYkgJkufMVkL7piASwsmJ1jTdOQSiURi8W4PsneKdx2GWiq\nZecz0ACwefMWLC8v4ZFHHsaVV76mrtI3uxZ2vU5rBM2DWiE0Pjtfrq5Zxnyzm++0rnn5Xe3Uab2A\nZa18NWNMpQxO85o+Hw6HkU6n20JibZjQX1WCPnXqJADm+FJgmOb6FVP9+J8/eRknFgUkK8sANPRF\n7MufiKq8ERloEjXj21Q5Z6DNz9vOTZ342fNJLOUUTPl80DQNz51cQjSkYLjbj9MZs4POM9AEgQQl\n6+8Ffr8fwWBIZ+sUi6W6eiFOWiOEF154DkePvow9e/ZhcnKbbTvQRkH2kKZpsFK4ASDqUxFUNLx4\nagVj3WxcRrvY/zXNSITU0q+dkhe188co77E/Bq3p28c6dQeaKNwATMFSamEFoCpoF3ZsZdVsEoCJ\ncGo4tHsADz57Dk8dXcTR08BqwYc9W7rwwd/eg9m5Bdz/i19BFjWEg862h9cMNM3zclnFZdt6kcut\nVL/XdqDbWDtcV5BcLoe77roLV199NQ4ePIiPfexjWF5e3qhre9WAKI9UB02UJ1lWTBsRXzsTDijY\nP9mLuZUclnIKusNANGS/0VAWxk1EjIwAQbCnSjvV8/KvWRd/yvAaToD7hjXQ4YMiVnD8XAaVioaH\nnz+PRKaE3nAJ0QYMjFDIaGWlqipyuaytgSKKgqOImFEDXWtAG5Ff9+ys3Zg5bXrNQJZl9IZKyBZU\n/PixMwDYZsnOw6twE521jHw+D03TdOEQOxiOq7vzwG+kVGsFAL0dAUMJdA0Z6GYo3ARBEPCuN26H\nLIlYSuVx9d5B/B9v24ugX0Y84sdAXEQ8oOqCKVbBMk3TdAfVnIGurYG2o39bkU6nUKlUEI932PZV\ndoJ9BtdcA02OPt3L2Ng4Nm/egkQigQce+HlNT3Q7GGuE/e9F5y8U8sjnc/rc52ugidZnZEBUx/nu\ntc6eZWvEphhQPp+vJsv/4osv4Ic//D4SiRXb75DDTBnBtgPdBo9QKIRYLKbPi2g0qhvjFLQMB2T0\nR4pYyTI9hK6QBhH2+8zCwjwEQUB3d2O9iJsFrcdOKtxOz+u2sV7IYgWLWQWKz4cHnj2H5GoRuzd3\n6fYLn7Xmj9soi6SjowP5fA75fB6lkrv4KTtXbZtNwtzcHI4efRmAQUn2yohzAwsAGmwV/nUAEARg\nMC4glSni4RdZX+rhLsMeoESI1Ym3c+opa22FEzWez0ADrO6aEPLZO9BWplI4HEGxWECxWISqqnoZ\nHDtvc0kASlgIgoB3Xb8dkihgtQCMx/O4/W174PdJ6IoF0B0qIx5QXQMcdM/1roHmcT2GRRttNANX\nj+ZLX/oSvvOd7+B1r3sd3vzmN+Ohhx7CJz/5yQ26tFcPSLWWMjJ81omPrpIxSbhqryHD3xe136DZ\ncb1koO0jogReedIKpw1JliU9c0734wZJktAVLCOxWsL/9eWH8ZV/Z7X1I7GCTjvyAnIOc7mcY/0z\nu157ETFeIdkuS0bZ6XoUbj76SWglhZu1zGDXOX0+jYBPwvgAu0/+N6EscLlc0utmnWpdASOgU895\nMAwjRuGWJebkdMcC+r2vpQaa2q55aXdkh/6uED70O7tx24078Z437TDVJJMxRYaD1VnP5XJ6poI3\nzOyMQUEQ4PP5XceLMiodHR0N1ecSLZp/7gOBAARBsK2BpuvZv/8SbN06iVQqhV/+sr4TTZlXp9+L\nrpnuIxaL19yDqjI2Ar9mOc135tx6q4Fulq2hKEpNBjqZTEBVVTz22CO2axk53LReNNMGq43fbPT1\n9ev/jkajJlEpgD2zozFjbg/GKg5zrYiVlWV0dnataZ1sBLQXOKlwOzm70WgE3cEysiUJ/+sxFf/9\nRy9BAHDlnkGdEcOzjfjgcaN7Hq0ti4sL0DTN1W7hj2stxyoUCnj88Uf14ButgUSHXhuFW9KDh3YU\nbgAY7WL/nlnMQREr6I4I1fMbdhzfdsppnXOyU5zG1WCcsfe3DschVRlTXdGAPh7hcEQ/p7WFGu2L\nv/zlz/Bv//Yd/PjH/4Fz52YBNJ8E4AMBQz1h/Jeb9+DKCWBPfxYyJyLG37cTaE40WkbXSgZgG224\nriD33Xcf/vIv/xJ//ud/jjvuuAP/8A//gJ/85CeOWbs2mgM5LOToWlW4AehUaJ46OrWpC51VxeOe\ngHM2h5wCLzXQTu1irEYCDyNjXkslaqQGWhQF9IbZta5mS3jdRUN4xxVB9IVLDamUGhTurGuNmSja\nU6N4p8AuS2ZQuL21UDBTuL0LqtSDKEroCZVAM2LbaIfe85IPWvAZT74HtBO8ZFQBs0K0T5GwbbQD\niiyiJx7U730tFG6APRvNZKAJeyd6cNXewZoMpnVeKIoCQRD0e3aq83UStfL5FFdni2r64vFO/Vxe\nVbit84wcdgosZLNZkwgMYe/ei7B9+05kMqs4csRd6JGu3SnbQ5krytxSH1G+jRXLQIsQRfYfo3Db\nz3em9aDaric8+GxNo/D5fKYAHmAIr6XTaTz77NM132lnoNuoB6JxA6ztklXEqlKpoDdcQrDq9w11\nGOsGD3IQeYd8vREOR0z6F0ammIKF9s+rIAgYqWZQ82UNr98/jL943+XYtamLc2bsMtDeunDwoLVl\nYYHpn3h3oM1ryZNPPo5CIY+pqT2QZVkPNJIzuhYHWhQlPcDKr098sHO0x7jurqAhqGg9N9lFTvaR\nk51Cdoh1jzUC92w8AlWNElHQ0Ndp7BGkxA2gZu+gEq90Oq3bXhQ8bdYJZRRuYy2+aLIHm7tV2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sNlsNCHsrO7MDZaCz2WzTc8SpZZrV5qRxa10NtJHIYcyzdva5jdagPZMuEJCjQE6OQWNhtcOU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\nRERERERERDZgA5qIiIiIiIjIBv8P8Cp9SMynveEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f0054faab38>"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fig"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Model and inference\n",
"\n",
"There is a base rate at which fouls are called."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"Let $\\Delta_i$ be the difference between the score of the committing team and the score of the disadvanted team during play $i$, so $\\Delta_i < 0$ if the committing team is trailing during play $i$. A model that differentiates between the case where the commiting team is leading or trailing is\n",
"\n",
"$$\n",
"\\begin{align*}\n",
"\\alpha\n",
" & \\sim N(0, 100) \\\\\n",
"\\beta_0\n",
" & \\sim N(0, 100) \\\\\n",
"\\beta_{t + 1}\\ |\\ \\beta_t\n",
" & \\sim N(\\beta_t, 0.01) \\textrm{ for } i \\in \\{1, \\ldots, 120\\} \\\\\n",
"\\\\\n",
"\\log \\left(\\frac{p_i}{1 - p_i}\\right)\n",
" & = \\alpha + \\mathbb{I}(\\Delta_i < 0) \\cdot \\beta_{t_i} \\\\\n",
"y_i\n",
" & \\sim \\textrm{Bernoulli}(p_i).\n",
"\\end{align*}\n",
"$$\n",
"\n",
"Here $\\mathbb{I}(\\cdot)$ is the indicator function which is one if the proposition is true ans zero if the proposition is false."
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "-"
}
},
"outputs": [],
"source": [
"with pm.Model() as trailing_model:\n",
" α = pm.Normal('α', 0., 10.)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"The trailing team is more likely to commit fouls as the game nears its end."
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"score_diff = (df.score_committing - df.score_disadvantaged).values"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"seconds_left_.set_value(seconds_left)\n",
"committing_trailing_ = theano.shared(1. * (score_diff < 0))\n",
"\n",
"with trailing_model:\n",
" β = pm.GaussianRandomWalk('β', tau=PRIOR_PREC, init=pm.Normal.dist(0., 10.),\n",
" shape=n_sec)\n",
" η = α + committing_trailing_ * β[seconds_left_]"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"Transform logodds to probabilities, specify observation model."
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"with trailing_model:\n",
" p = pm.math.sigmoid(η)\n",
" fc = pm.Bernoulli('fc', p, observed=foul_called)"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": true,
"scrolled": false
},
"outputs": [],
"source": [
"trailing_trace = sample_from_model(trailing_model, quiet=True)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Model diagnostics &mdash; posterior prediction"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": true,
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [],
"source": [
"pp_trailing_df = pd.DataFrame({\n",
" 'seconds_left': np.tile(pp_sec, 2),\n",
" 'committing_trailing': np.repeat([0., 1.], n_sec)\n",
" })\n",
"\n",
"seconds_left_.set_value(pp_trailing_df.seconds_left)\n",
"committing_trailing_.set_value(pp_trailing_df.committing_trailing)"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 1000/1000 [00:08<00:00, 113.97it/s]\n"
]
}
],
"source": [
"with trailing_model:\n",
" pp_trailing_trace = pm.sample_ppc(trailing_trace, N_PP_SAMPLES, random_seed=SEED)\n",
" \n",
"pp_trailing_df['p'] = pp_trailing_trace['fc'].mean(axis=0)"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"data": {
"image/png": 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KFosXo0ZFk5+fz9ixT9G9+z2MG/cK+fn5/P77Hry8vGnQoBGjRz/F7NlvsWDB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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f006731bd30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(ncols=2, sharex=True, sharey=True, figsize=(16, 6))\n",
"\n",
"for ax, (committing_trailing, grp_df) in zip(axes, trailing_df.groupby('committing_trailing')):\n",
" ax.plot(grp_df.seconds_left, grp_df.foul_called,\n",
" c='k', alpha=PP_OBS_ALPHA,\n",
" label=\"Observed\");\n",
" pp_grp_df = pp_trailing_df[pp_trailing_df.committing_trailing == committing_trailing]\n",
" ax.plot(pp_grp_df.seconds_left, pp_grp_df.p,\n",
" label=\"Posterior expected\");\n",
" \n",
" ax.set_xlabel(NBA_XLABEL);\n",
" ax.set_title(get_committing_title(committing_trailing));\n",
" \n",
"ax, _ = axes\n",
"\n",
"ax.invert_xaxis();\n",
"\n",
"ax.yaxis.set_major_formatter(pct_formatter);\n",
"ax.set_ylabel(NBA_YLABEL);\n",
"\n",
"ax.legend(loc=2);"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {},
"outputs": [
{
"data": {
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